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

** **

**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.

** **

**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.

** **

**Question 8:**

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

** **

**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.

** **

**Question 19:**

** **

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?

**********