Question

(b) Two isosceles triangles PQR and PQS are drawn on opposite sides.

of a common base PQ. If PQR = 66° and PSQ = 109°, calculate
the value of RQS.

Answer 1

9514 1404 393

Answer:

101.5°

Explanation:

Angle PQS will be the complement of half of angle PSQ, so is ...

∠PQS = 90° -109/2° = 35.5°

Angle RQS is the sum of angles RQP and PQS:

∠RQS = 66° +35.5° = 101.5°