# What is the value for y? Explain how you arrived at your answer.

Dec 23, 2016

$y = 14$

#### Explanation:

The sum of internal angles in a triangle is ${180}^{\circ}$ The considered triangle is an isosceles triangle $\overline{A C} = \overline{B C}$ so $50 = 2 x \to x = 25$

Considering the whole triangle we have

$180 = 2 \cdot 50 + 5 y + 10 \to y = 14$ so finally

$x = 25$ and $y = 14$