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vekshin1
3 years ago
15

What is the value of y? Enter your answer in the box. y =

Mathematics
2 answers:
Oksanka [162]3 years ago
8 0

<u>Answer-</u>

\boxed{\boxed{y^{\circ}=26^{\circ}\ 45'}}

<u>Solution-</u>

As the triangle ABC is an isosceles triangle, with AC = BC.

So the angles A and B will be same, i.e

\Rightarrow \angle A=\angle B

\Rightarrow 34^{\circ}=(x-5)^{\circ}

\Rightarrow x^{\circ}=34^{\circ}+5^{\circ}

\Rightarrow x^{\circ}=39^{\circ}

As sum of all angles in a triangle is 180°, so

\Rightarrow \angle A+\angle B+\angle C=180^{\circ}

\Rightarrow 34^{\circ}+39^{\circ}+4y^{\circ}=180^{\circ}

\Rightarrow 4y^{\circ}=180^{\circ}-34^{\circ}-39^{\circ}

\Rightarrow 4y^{\circ}=107^{\circ}

\Rightarrow y^{\circ}=\dfrac{107^{\circ}}{4}

\Rightarrow y^{\circ}=26.75^{\circ}

\Rightarrow y^{\circ}=26^{\circ}\ 45'

Nataliya [291]3 years ago
6 0
The answer to this question is y=28

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