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djverab [1.8K]
4 years ago
9

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

Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
3 0

Answer:

x=15°

Step-by-step 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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