Question

Find the Measure of X

Answer 1

84 + 4x = 180

-84 on both sides

4x = 96

Divide by 4 on both sides

x = 24

Answer 2

24

Step-by-step explanation:

A pair of angles of a straight line are two angles that are adjacent to each other and share a common vertex. The sum of the measures of a pair of angles of a straight line is always equal to 180°.

Using this, we have:

84° + (4x)° = 180°

Subtract 84° on both sides:

84° + (4x)° - 84°= 180° - 84°

(4x)° = 96°

Divide both sides by 4.

`\sf ((4x)^\circ)/(4)=(96^\circ)/(4)`

We get

x = 24°.

Therefore, the measure of x is 24.