Question

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

Answer 1

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°