Question

Write an equation to find x, then solve for angle measure A. 25 points.

Answer 1

Explanation:

23). By applying triangle sum theorem in the given triangle,

(x + 83)° + (x + 48)° + 65° = 180°

2x + 196 = 180

2x = -16

x = -8

Measure of angle A = x + 48

= -8 + 48

= 40°

Therefore, Option A is the answer.

24). By triangle sum theorem,

(3x + 14)° + 90° + (4 + 3x)° = 180°

6x + 108 = 180

6x = 72

x = 12

Measure of angle A = (4 + 3x)

= 4 + 3(12)

= 40°

Therefore, Option A is the answer.