Question

Triangle ABC has angles A=(x+49), B=(x+77), and C=74. Find the measure of angle A.

A) 126ᵒ
B) 135ᵒ
C) 123ᵒ
D) 124ᵒ

Answer 1

The measure of angle A is calculated to be 39 degrees

How to find angle A

Applying sum of angles in a triangle we have the equation below

A + B + C = 180

(x + 49) + (x + 77) + 74 = 180

2x + 200 = 180

2x = -20

x = -10

Solving for A

A = (x + 49)

A = -10 + 49

A = 39