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AleksandrR [38]
2 years ago
8

SV is an angle bisector of ∠RST. If m∠RSV = (3x + 9)° and m∠RST = (8x − 26)°, find x.

Mathematics
1 answer:
DiKsa [7]2 years ago
3 0

Answer:

C) Definition of Angle Bisector, x=22

Step-by-step explanation:

As\ we\ the\ question\ relates\ only\ about\ SV\ bisecting\ \angle RST,\ We\ may\ use\ the\\C)Angle\ Bisector

From\ the\ information\ provided\ we\ know\ that,\\SV\ bisects\ \angle RST\ into\  \angle RSV\ and\ \angle VST.\\Hence,\\\angle RSV\ and\ \angle VST\ are\ equal\ as\ they\ are\ the\ bisected\ angles\ of\ the\ same\ angle.\\Hence,\\\angle RSV\ = \angle VST\\Hence,\\We\ know\ that:\\\angle RSV\ + \angle VST =\angle RST\\Hence,\\\angle RSV\ +\angle RSV\ = \angle RST\\2\angle RSV=\ \angle RST\\

Now\ from\ the\ information\ about\ the\ values\ of\ the\ angles\ provided\ in\ the\ question\ ,\\\angle RSV=(3x+9)\\\angle RST=(8x-26)\\Hence,\\2(3x+9)=(8x-26)\\6x+18=8x-26\\18+26=8x-6x\\2x=44\\x=22

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