Hi there!
[tex]\large\boxed{\text{x = 12, x = 5}}[/tex]
Problem 1:
The angles pictured are vertical angles, so each will be equivalent. Therefore:
(5x + 5)° = 65°
Subtract 5 from both sides:
5x = 60
Divide both sides by 5:
x = 12°.
Problem 2:
The two angles are supplementary, so they add up to 180°. Therefore:
180° = (9x)° + (12x + 75)°
180 = 9x + 12x + 75
Combine like terms:
180 = 21x + 75
Subtract 75 from both sides:
105 = 21x
Divide both sides by 21:
x = 5°.
