XZ is the bisector of <WXY. If m<WXY = 5x+152 and m<YXZ=6x+90 what is m<WXZ

bisectors of angles
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1 Answer

Angles WXZ and YXZ are equal because XZ is the bisector and WXZ=YXZ=6x+90.

Also WXY=2YXZ, so 5x+152=2(6x+90)=12x+180.

152-180=12x-5x, 7x=-28 and x=-4 so WXZ=YXZ=6(-4)+90=90-24=66°.

by Top Rated User (1.1m points)

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