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In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR, Name the pair of complementary angles

Solution:

Given, P, Q and R are collinear points

Also, TQ ⊥ PR

We have to find the pair of complementary angles.

When the sum of the measures of two angles is 90°, the angles are called complementary angles.

From the figure,

Since TQ ⊥ PR,

We observe that ∠RQT is a right angle which measures exactly 90 degrees.

So, ∠RQT = ∠TQS + ∠RQS

Therefore, the pair of complementary angles are ∠TQS and ∠RQS.

✦ Try This: The supplementary angle of 95° is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 79 (a)

In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR, Name the pair of complementary angles

Summary:

In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR. The pair of complementary angles are ∠TQS and ∠RQS

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