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5. Lines and Angles
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Q79 of 113 Page 128

In Fig. 5.39, P, Q and R are collinear points and TQ ⊥ PR,


Name; (a) pair of complementary angles


(b) two pairs of supplementary angles.


(c) four pairs of adjacent angles.

Pair of complementary angles:


i) ∠TQS and ∠SQR


Two Pairs of Supplementary angles:


i) ∠PQT and ∠TQR


ii) ∠PQS and ∠SQR


Four pairs of adjacent angles:


i) ∠TQS and ∠SQR


ii) ∠PQT and ∠TQR


iii) ∠PQS and ∠SQR


iv) ∠PQT and ∠TQS


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77

The sum of two vertically opposite angles is 166°. Find each of the angles.

78

In Fig. 5.38, l ||m||n.

∠QPS = 35° and ∠QRT = 55°. Find ∠PQR.


80

In Fig. 5.40, OR ⊥ OP.


(i) Name all the pairs of adjacent angles.


(ii) Name all the pairs of complementary angles.

81

If two angles have a common vertex and their arms form opposite rays (Fig. 5.41), Then,


A. how many angles are formed?


B. how many types of angles are formed?


C. write all the pairs of vertically opposite angles.

Questions · 113
5. Lines and Angles
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