Question

If the measure of 1 is x and the measure of <2 is x+50, what is the measure of <4?

Answer 1

Answer:

Measure of angle 4 is 115°

Step-by-step explanation:

First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.

Find angle 2 by setting up an equation:

$x+x+50=180$

This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.

Solve the equation:

$x+x+50=180$

Combine the 2 x's to get 2x.

$2x+50=180$

Subtract 50 from both sides.

$2x=130$

Divide both sides by 2.

$x=65$

Since x=65, plug 65 into x in the measure of angle 2 (x+50).

65+50=115.

Since Angle 2 is equal to angle 4, angle 4 is also 115.