Question

Question 71
O is the centre of a circle to which PAX and PBY are tangents from point P at points A and B.Q is a point
on the circle, such that ZQAX = 49° and ZQBY = 62°. What is the measure of ZAQB ?
ST
A
630
B
67
DEL
C59
DEDE
D
69°
Answer: D​

Answer 1

Answer:

As triangle are perpendicular to  the radius so

OA ⊥AP & OB ⊥BP

∠OAP = 90°, ∠OBP = 90°

∠OAP+  ∠OBP = 180°

In quadrilateral , OAPB

∠APB +∠AOB +∠AOP +∠OBP = 360

∠APB + ∠AOB + 180 = 360

∠APB + ∠AOB = 180

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Step-by-step explanation: