Question

What is the value of y?



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y =

Answer 1

the answer to this question is y=28

Answer 2

Answer-

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

Solution-

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

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

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

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

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

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

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

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