Question

10 points
Find the measure of the numbered angle.

Answer 1

Explanation:

2x +2x+4x+4x =360

12x=360

x=30

angle =4x =30×4 = 120

Answer 2

90°

Explanation:

2x + 2x + 4x +4x = 12x = 360°

x = 30°

2x = 60°

4x = 120°

by the circle theorems, the inscribed angle is half of its Subtended arc. The answer is illustarted on the attached picture.