Question

ZA and ZB are supplementary angles. If m A = (2x – 24) and mZB = (5x – 27), then find the measure of ZB.

Answer 1

For supplementary angles, the sum will be 180°.

That is,

$\begin{gathered} 2x-24+5x-27=180 \\ 7x-51=180 \\ 7x=231 \\ x=33 \end{gathered}$

So the angle B is

$5\times33-27=138^o$