Question

The angle measurements in the diagram are represented by the following expressions.

Answer 1

x=10

A=84

Explanation:

A+B=180

5x+34+2x+76=180

7x+110=180

7x=70

x=10

A=5x+34=5*10+34=50+34=84

Answer 2

x=10

A = 84

Explanation:

A and B are supplementary angles so they add to 180 degrees

A + B =180

2x+76 + 5x+34 = 180

Combine like terms

7x+ 110 = 180

7x+110-110 = 180-110

7x = 70

Divide by 7

x = 10

Now find A

A = 5x+34

A = 5*10 +34

= 50+34

A = 84