Question

problem 22: (first taught in lesson 42) find x and y. 72° after you enter your answer press go. x = y =

Explanation:

Step1: Identify isosceles triangle

The triangle has two equal - length sides (marked with dashes), 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 of the triangle be $x$, $72^{\circ}$, and $y$. Since $y = 72^{\circ}$, we have $x+72 + 72=180$.
Solve for $x$:

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Answer:

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