Question

NO LINKS!! URGENT HELP PLEASE!!!

Segment AP is drawn and creates two congruent isosceles triangles.

What is the value of x?
a. 20°
b. 40°
c. 80°
d. 140°

Answer 1

c. 80°

Explanation:

△APB is isosceles triangle

=> ∠PAB = ∠PBA = 20

△APC is isosceles triangle

=> ∠PAC = ∠PCA = 20

∠BAC = ∠PAB + ∠PAC = 20 + 20 = 40

or ∠A = 40

The inscribed angle theorem states that the size of the central angle is equal to twice the size of the inscribed angle

x = 2A = 2(40) = 80