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 = 46⁰. 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 = 50⁰ and ∠  PRD =130⁰, 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 = 180⁰                         (d) ∠ a = ∠ d

 

Question 10:

If the complement of an angle is 62⁰, 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 = 30⁰ and∠ DOB = 40⁰ Find ∠  COF.

 

Question 14:

In the given figure, OB is perpendicular to OA and ∠ BOC = 49⁰. 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?

**********