PLEASE HELP. I CANNOT FIGURE IT OUT!!! In the diagram below, point U is on segment BY and the measure of BUG is 30 degrees greater than the measure of angle GUY.

PLEASE HELP I CANNOT FIGURE IT OUT In the diagram below point U is on segment BY and the measure of BUG is 30 degrees greater than the measure of angle GUY class=

Respuesta :

Answer:

GUY = 75

BUG = 105

Step-by-step explanation:

BUY = 180

BUG + GUY = BUY = 180

BUG = 30+GUY

Replace BUG in the equation with 30+GUY

30 + GUY + GUY = 180

Combine like terms

30 + 2 GUY = 180

Subtract 30 from each side

30-30 + 2GUY = 180-30

2 GUY = 150

Divide by 2

2/2 GUY = 150/2

GUY = 75

BUG =  30+GUY

BUG = 30 + 75

BUG = 105