Question

चित्र में, यदि angleSQR- 650 और angleRPQ- 400 हो तो angle QRS का माप होगा:
1) 300 2) 450 3) 600 4) 750

Answer 1

Answer:

2) 450 is a right answer

Answer 2

Angle ∠QRS =75°, Means option fourth is correct.

Step-by-step explanation:

1. Given data

  ∠QPR =40°

  ∠SQR =65°

2. From theorem of angle in same segment of a circle are equal.

   So

   ∠QSR=∠QPR

   ∠QSR = 40°

3. Now in triangle Δ QRS, By sum of triangle angle property

   ∠QRS+∠QSR+∠SQR = 180°

   ∠QRS+40°+65° = 180°

   ∠QRS+105° = 180°

   ∠QRS = 180°-105°

   So

   ∠QRS = 75° , Means fourth option is correct.