Daily Practice Problems

Class 7 Maths

Lines and Angles

Class 7 Maths

Lines and Angles

**Question 1:**

The angles between North and West and South and East are:

(a) complementary (b) Supplementary

(c) both are acute (d) both are obtuse

**Question 2:**

Angles between South and West and South and East are

(a) Vertically opposite angles

(b) complementary angles

(c) Making a linear pair

(d) adjacent but not supplementary

**Question 3:**

In the given fig., PQ is a mirror, AB is the incident ray and BC is the reflected ray. If *∠* ABC = 46^{0}. Find *∠* ABP is equal to

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**Question 4:**

In the figure, lines PQ and ST intersect at O. If ∠POR = 90° and x : y = 3 : 2, then find the value of z.

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**Question 5:**

3a + 16 and 2a + 34 are supplementary angles. Find a.

**Question 6:**

In the figure, PQ||ST. Find the value of x + 2y.

**Question 7:**

In the given figure, find the value of x.

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**Question 8:**

In the given fig., if AB ||CD *∠* APQ = 50^{0} and *∠* PRD =130^{0}, find *∠* QPR.

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**Question 9:**

In the given fig., lines l and m intersect each other at a point. Which of the following** **is false.

(a) *∠* a = *∠* b (b) *∠* d = *∠* c

(c) *∠* a + *∠* d = 180^{0} (d) *∠* a = *∠* d

**Question 10: **

If the complement of an angle is 62^{0}, find its supplement.

**Question 11:**

In the given figure, two parallel line l and m are cut by two transversal n and p. Find the values of x and y.

**Question 12:**

Find the value of x.

**Question 13:**

In the given figure, three lines AB, CD and EF intersect each other at O. If *∠* AOE = 30^{0} and*∠* DOB = 40^{0 }Find *∠* COF.

**Question 14:**

In the given figure, OB is perpendicular to OA and *∠* BOC = 49^{0}. Find *∠* AOD

**Question 15:**

State ‘True’ or ‘False’:

(1) Two right angles are complementary to each other.

(2) One obtuse angle and one acute angle can make a pair of complementary angles.

(3) Two supplementary angles are always obtuse angles.

**Question 16:**

Fill in the blanks:

(1) Two angles forming a _____ pair are supplementary.

(2) Two lines in a plane which do not meet at a point anywhere are called _____ lines.

(3) Sum of interior angles at the same side of transversal is _____.

**Question 17:**

What is the type of other angle of a linear pair if

(a) one of its angles is acute?

(b) one of its angles is obtuse?

(c) one of its angles is right?

**Question 18:**

In the given figure, PQ || ST, find the value of x + y.

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**Question 19:**

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In the given figure, identify:

(i) Five pairs of adjacent angles.

(ii) Three linear pairs.

(iii) Two pairs of vertically opposite angles.

**Question 20:**

Answer the following:

1. Can two adjacent angles be supplementary?

2. Can two adjacent angles be complementary?

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**Application of Knowledge:**Problem-solving allows you to apply the theoretical concepts of the topic Class 7 Maths Lines and Angles you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.**Understanding Deeper Concepts:**When you encounter problems related to a theoretical concept that you learned in Class 7 Maths Lines and Angles NCERT Chapter 5, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.**Critical Thinking:**Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.**Retention and Recall:**Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Lines and Angles Class 7 Maths in practical scenarios helps you remember them better than passive reading or memorization.**Identifying Knowledge Gaps:**When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Lines and Angles Class 7 Maths Notes on LearnoHub.com**Boosting Confidence:**Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Lines and Angles. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.**Preparation for Exams and Challenges:**Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Lines and Angles Class 7 Maths Online Tests at LearnoHub.com.**Enhancing Creativity:**Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.**Life Skills Development:**Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.**Improving Decision Making:**Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

**In summary, problem-solving after learning a theoretical concept on CBSE Lines and Angles Class 7 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.**

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

**All About Daily Practice Problems on Class 7 Maths Lines and Angles NCERT Chapter 5**

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 7 Maths Lines and Angles NCERT Chapter 5 useful.

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