itzshiane
itzshiane itzshiane
  • 14-03-2020
  • Mathematics
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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 class=

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opudodennis
opudodennis opudodennis
  • 22-03-2020

Answer:

x=15°

Step-by-step explanation:

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

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

From the equation above, x=15°

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