Question

The angel measurements in the diagram are represented by the following expressions
A=5x+34 B=2x+76
Solve for x and then find the measure of A
A=___

Answer 1

5x + 34 + 2x + 76 = 180
7x + 110 = 180
7x + 110(-110) = 180-110
7x = 70
7x/7 = 70/7
x = 10

Angle A:
5x + 34
5(10) + 34
50 + 34
84

Angle B:
2x+ 76
2(10) + 76
20 + 76
96

Angle A + Angle B = 180
84 + 96 = 180




The answer is 84 degrees.