Question

∠QPR = 60 then what is ∠aob
its tooooooooooooooooooooooooooooooo simple

Answer 1

Answer:

∠AOB=120°

Step-by-step explanation:

∠QPR=60° then∠APB=60° and∠OAP=90°,∠OBP=90°

NOW,

FROM AOBP:

∠AOB=360°-(∠OAP+∠OBP+∠APB)

=360°-(90°+90°+60°)

=360°-240°

=120°

Answer 2

Given  : ∠QPR = 60°

To Find : ∠AOB

A)  60°

B) 90°

C) 120°

D) can not be found

Solution:

∠QPR = 60°

∠APB = ∠QPR   Vertically opposite angles

=> ∠APB =  60°

∠OAP = ∠OBP = 90°   as AP and BP are tangents

Sum of 4 angles of a quadrilateral is 360°

∠AOB + ∠OAP + ∠OBP +  ∠APB =  360°

=> ∠AOB  + 90°  + 90°  +  60° =  360°

=>  ∠AOB  + 240° =  360°

=>  ∠AOB   =  360° -  240°

=> ∠AOB   =  120°

Option C) 120°  is correct

Learn More:

pt is a tangent to the circle with center o , ot = 56 cm , tp = 90 cm ...

brainly.in/question/13195915

from a point p,40cm away from the centre ,a tangent pt of length ...

brainly.in/question/15042373