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Ray AB bisects Angle CAD. Use that information to solve for x.

Ray AB bisects Angle CAD. Use that information to solve for x.-example-1

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5 votes

Answer:

x=15°

Explanation:

Given that Ray AB is the angle bisector of
\angle CAD, then
\angle CAB=\angle BAD and given that
\angle CAB=5x-17, \angle BAD=3x+13 , we equate the two angles to solve for x:


\angle CAB=5x-17= \angle BAD=3x+13\\\\5x-17=3x+13\\\\2x=30\\\\x=15 \textdegree

From the equation above, x=15°

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