AB is the angle bisector of CAD. Solve for the missing variable?

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05-02-2021
Mathematics

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AB is the angle bisector of CAD. Solve for the missing variable?

Sagot :

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LanceLongFei LanceLongFei · Answer 1 · 2021-02-05T12:42:28-05:00

LanceLongFei LanceLongFei

05-02-2021

Answer:

[tex]x=8^\circ[/tex]

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is [tex]\angle CAD[/tex]) exactly in half. Therefore, [tex]\angle CAB = \angle BAD[/tex] and as such we can solve for [tex]x[/tex]:

[tex]\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ[/tex]

and we are done.

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