Question

PLEASE HELP ME GUYS Consider adjacent angles that measure (2x + 45)° and (3x + 55)°. The sum of the measures of these two angles is 135°. Write and solve and equation to find the value of x and the measure of the two angles.

Answer 1

x=7

2x+45=59

3x+55=76

Explanation:

Answer 2

7°, 59°, 76°

Explanation:

The equation for the sum of the angles:

• (2x + 45)° + (3x + 55)° = 135°

Solving for x:

• (5x + 100)°= 135
• 5x= 35
• x= 35°/5
• x= 7°

The angles:

• (2x + 45)°= 2*7°+45° = 59°
• (3x+55)°= 3*7° + 55° = 76°