Vertical angles are congruent.
First Angle: 6x
Second Angle: 4x + 20
First and Second angles are vertical, therefore they are congruent.
Equate 6x and 4x + 20 to solve for x:
6x = 4x + 20
6x - 4x = 20
2x = 20
2x/2 = 20/2
x = 10
Substitute 5 for x:
First angle: 6x ⇒ 6 (10) = 60°
Second angle: 4x + 20 ⇒ 4(10) + 20 = 40 + 20 = 60°
Measure of adjacent angle:
Adjacent angle = 180° - 60°
Adjacent angle = 120°
Answer: The angle is 60° and its adjacent angle is 120°.
