Question

I need your help (circle theorem question).

Answer 1

Answer:

b = 108

c = 72

Step-by-step explanation:

The triangle formed by the two tangents is an isosceles triangle.

180 - 72 = 108

108/2 = 54

The other two angles in the triangle are equal to 54 degrees.

A tangent always meets the radius line at a right angle. Therefore, the radius line (between b and c) meets the tangent at 90 degrees.

90 - 54 = 36

Therefore the other two angles of 'b' triangle are equal to 36 degrees.

36 x 2 = 72

180 - 72 = 108

b = 108

And therefore b is equal to 108 degrees.

b + c = 180 (because a straight line is always equal to 180 degrees)

180 - 108 = 72

So c = 72