Question

Find measure of angle PQS

Answer 1

ANGLE PQS = 45°

Explanation:

angle SRT = 180 - 70 = 110

thus angle QSR = 180 - 20 - 110 = 50

BY Angle sum property

angle PQS = 180 - 85 - 50 = 180 - 135 = 45

Answer 2

<PTR+<RTS=180 LINEAR PAIR

<PTR=180-20=160°

Explanation:

IN QUADRILATERAL PQRT

<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360

85+<Q+70+160=360

<Q=360-315=45°

angle PQS=45°