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

`y=58.67^(\circ)`

`x=121.33^(\circ)`

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=(176)/(3)`

`y=58.67^(\circ)`

Substitute the value then, we get

`x+58.67=180`

`x=180-58.67`

`x=121.33^(\circ)`