In the given figure, P, Q and R are collinear points and TQ ⊥ PR. Na

1.	In the given figure, 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.
Answer» (a) Complementary angles are those whose sum is 90°. ∴ ∠TQS and ∠SQR are pair of complementary angles, as their sum is 90°. (b) Supplementary angles are those whose sum is 180°. ∴ ∠SQR, ∠SQP; ∠TQR, ∠TQP are pair so supplementary angles. (c) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. ∴ ∠SQR, ∠SQT, ∠TQR, ∠TQP, ∠SQT, ∠TQP; ∠PQS, ∠SQR are pairs of adjacent angles.

In the given figure, 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.

Answer»

(a) Complementary angles are those whose sum is 90°.

∴ ∠TQS and ∠SQR are pair of complementary angles, as their sum is 90°.

(b) Supplementary angles are those whose sum is 180°.

∴ ∠SQR, ∠SQP; ∠TQR, ∠TQP are pair so supplementary angles.

(c) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points.

∴ ∠SQR, ∠SQT, ∠TQR, ∠TQP, ∠SQT, ∠TQP; ∠PQS, ∠SQR are pairs of adjacent angles.