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

ZA and ZB are supplementary angles. If m A = (2x – 24) and mZB = (5x – 27), then find the measure of ZB.
asked 63.3k views
3 votes
ZA and ZB are supplementary angles. If m A = (2x – 24) and mZB = (5x – 27), then find the measure of ZB.

asked
User Nanoman
by
8.6k points

1 Answer

2 votes

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*33-27=138^o

answered
User Weegee
by
8.0k points
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