In Fig. 16.194, two congruent circles with centres O and O’ intersect at A and B. If ∠AO’B=50°, then find ∠APB.

Question

In Fig. 16.194, two congruent circles with centres O and O&#x2019; intersect at A and B . If &#x2220; AO&#x2019;B =50&#xB0;, then find &#x2220; APB .

Philoid · Accepted Answer

∠AO'B = 50^o

Since, both the triangle are congruent so their corresponding angles are equal.

∠AOB = AO'B = 50°

Now,

∠APB =

= 25°