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3 years ago

Could anyone please help me with this question? thanks

Mathematics

1 answer:

Tpy6a [65]3 years ago

3 0

AB = AC, so this is an isosceles triangle, then angle B=angle C =66⁰.
m∠BAD = m∠CAD, so AD is a bisector.
In an isosceles triangle, bisector is also median and height.
So AD is perpendicular bisector.
So angle x = 90⁰.

In triangle ABC
m∠A+m∠B+m∠C=180⁰
m∠A+66+66=180
m∠A=180-66-66=48⁰

m∠A=48⁰
AD is a bisector of A, so y=m∠A/2=48⁰/2=24⁰

x=90⁰, y=24⁰
Answer is A

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