In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR, Name the pair of supplementary 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 180°, the angles are called supplementary angles.
From the figure,
Linear pairs of angles are formed when two lines intersect each other at a single point.
Linear pair angles are supplementary angles as their sum is 180°.
Considering the ray QS on the line PR,
The supplementary angles are ∠SQP and ∠SQR
Considering the ray QT on the line PR,
The supplementary angles are ∠PQT and ∠RQT
Therefore, the pair of supplementary angles are ∠SQP, ∠SQR and ∠PQT, ∠RQT.
✦ Try This: The sum of two vertically opposite angles is 136°. Find each of the angles
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 79 (b)
In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR, Name the pair of supplementary angles
Summary:
In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR. The pair of supplementary angles are ∠SQP, ∠SQR and ∠PQT, ∠RQT
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