Question

Angles A and B are supplementary angles. If m

Answer 1

138 degrees

Step-by-step explanation:

Two angles are said to be Supplementary if they add up to 180 degrees.

Given that Angles A and B are supplementary and:

`\begin{gathered} m\angle A=(2x-24)^0 \\ m\angle B=(5x-27)^0 \end{gathered}`

Therefore:

`\begin{gathered} m\angle A+m\angle B=180^0 \\ 2x-24+5x-27=180 \\ 7x=180+27+24 \\ 7x=231 \\ x=(231)/(7) \\ x=33^0 \end{gathered}`

Therefore, the measure of angle B will be:

`\begin{gathered} m\angle B=(5x-27)^0 \\ =5(33)-27 \\ =165^0-27^0 \\ =138^0 \end{gathered}`

The measure of angle B is 138 degrees.