Question

please answer fast.
it's urgent.
Wanted step by step explanation..​

Answer 1

(x + 63) + (x + 27) = 180°. [linear pair]

2x = 180 - 90 = 90

x = 90 ÷ 2 = 45°

/_PQS = x + 63 = 45 + 63 = 108°

/_SQR = x + 27 = 45 + 27 = 72°

Answer 2

Answer:

angle POS = 108

angle SOR = 72

Step-by-step explanation:

IF POR is a straight line,

angle POS + angle SOR = 180 (linear pair )

x+ 63 + x+27 = 180

2x +90 = 180

2x = 180-90

2x= 90

x= 90÷ 2

x= 45

Now,

angle POS = x + 63

= 45+63

= 108

and

angle SOR = x + 27

= 45+27

= 72