Question

problem 22: find x and y. (first taught in lesson 42) after you enter your answer press go. x = y =

Explanation:

Step1: Identify isosceles triangle

The triangle has two equal - length sides, so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So $y = 72^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. Let the three angles be $x$, $72^{\circ}$, and $y$. Since $y = 72^{\circ}$, we have $x+72^{\circ}+72^{\circ}=180^{\circ}$. Then $x=180^{\circ}-72^{\circ}-72^{\circ}$.
$x = 36^{\circ}$

Answer:

$x = 36^{\circ}$, $y = 72^{\circ}$