Question

HELP PLEASE

Find the value of each variable in the circle to the right. The dot represents the center of the circle

Answer 1

a = 43°

b = 90°

c = 43°

Explanation:

Since, angle inscribed by a semicircle measure 90°.

Therefore, measure of angle 'b' = 90°

Since, measure of the intercepted arc in a semicircle = 180°

Therefore, c° + 137° = 180°

c = 180 - 137

c = 43°

Since, measure of the intercepted arc is double of the inscribed angle.

Therefore, 2(a) = 130°

a = 65°