Question

solve the question

solve the question​

Answer 1

Answer:

TQR = 30 + 35 ( exterior angle is equal to sum of rest 2 angles )

TQR = 65

SIMILARLY

RST = 45 + 65

RST = 110

$x = 110^{o}$

Answer 2

Answer:

110 = x

Step-by-step explanation:

1.∠QPT +  ∠QTP + ∠PQT = 180  ( Angle Sum Property )

 35 + 30 + ∠PQT = 180

 ∠PQT = 180 - ( 30 + 35 )

 ∠PQT = 180 - 65  = 115

2. ∠SQR = 180 - ∠PQT  ( Linear Pair )

   ∠SQR = 180 - 115 = 65

3.  ∠SQR + ∠SRQ = x ( Two opposite interior angles is equal to the exterior angle )

      65 + 45 = x

       110 = x

Therefore x = 110