Question

Find the value of x and y. Then find the measure of each labeled angle.

(x + 55)
(3x - 5)

Answer 1

x=30

3x-5=85

x+55=85

Explanation:

Solve by using the system of equations

3x-5=x+55

add 5 to both sides

3x=x+60

subtract x from both sides

2x=60

divide by 2 from both sides

x=30

Now plug in x=30 for each expression

3(30)-5=90-5=85

30+55=85

since 85=85, x=30 satisfies this expression.