Question

In the given figure, anglePQR = 90°, SQ||
PR and angle PQS = 60°, find the angles x
and y

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Answer 1

Answer:

X=60 and Y=30

Step-by-step explanation:

angle PQS= angle QPR (ALTERNATE ANGLES)

60=X

AND IN TRIANGLE PQR

angle X +angle Y+angle PQR=180

60+angle Y+90

angle Y=180-150

angle Y=30

Answer 2

SQ||PR (given)

angle PQS and angle x are (aleternate interior angles of parallel lins SQ||PR and transversal line PR.

we know that,

Alternate interior angles are equal to one another.

therefore, 60° = x

angle PQR + x + y = 180° (angle sum property)

90°+ 60°+ y = 180°

150° + y = 180°

y =180° - 150°

y =30°

x=60°

y=30°