Question

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

Answer 1

Answer:

$y=20\degree$

Step-by-step explanation:

The given triangle is isosceles. Therefore the base angles are equal.

This implies that,

$5x=25\degree$.

To find $y$ we add the interior add angles and equate to $180/degree$.

This implies,

$(3y+70)\degree +25\degree +5x\degree =180\degree$

We substitute to obtain,

$\Rightarrow (3y+70)\degree +25\degree +25\degree =180\degree$

We evaluate to obtain,

$\Rightarrow 3y+120\degree =180\degree$

$\Rightarrow 3y=180\degree-120\degree$

$\Rightarrow 3y=60\degree$

We divide through by 3 to get.

$\Rightarrow y=20\degree$