Question

the tangents of the two points A and on the circle wit centre O intersect at a point P. if,in quadrilateral PAOB,angle AOB =5:1 ,then the measure angle of APB is given by​

Answer 1

The answer for your question is 30°

EXPLAINATION:

Given : PAOB is quadrilateral

∵∠AOB:∠APB

5x:1x

Note : In Quadrilateral Sum of opposite angle is 180∘

∴∠AOB+∠APB=180°

Then 5x+x=180∘

6x=180∘

x=30∘

∴∠APB=30∘

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