Question

Two angles are supplementary. the measure of one angle is 4 more than 2 times the measure of teh other andgle. Write an equation that can be used to find the measures?

Answer 1

Answer:

$y=58.67^{\circ}$

$x=121.33^{\circ}$

Step-by-step explanation:

We are given that two angles are supplementary .

We have to write an equation that can be used to find the measures.

Let x and y are supplementary

According to question

$x+y=180^{\circ}$( by definition of supplementary angles)

$x=2y+4$

Substitute the value then we get

$2y+4+y=180$

$3y=180-4$

$3y=176$

$y=\frac{176}{3}$

$y=58.67^{\circ}$

Substitute the value then, we get

$x+58.67=180$

$x=180-58.67$

$x=121.33^{\circ}$