# The first angle is 6x and its vertical angle is 4x + 20. What is the measure of the angle and the adjacent angle?

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by ThegEEK

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by ThegEEK

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x = 10

6 (10) = 60 = First angle

180 minus First angle =Adjacent angle

Adjacent angle = 120

The Brainliest Answer!

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

Substitute 5 for x:

Measure of adjacent angle:

Adjacent angle = 180° - 60°

Answer: The angle is 60