Question

problem 17: find y. (first taught in lesson 31) after you enter your answer press go. y =

Explanation:

Step1: Find interior angles adjacent to given exterior angles

The interior - angle adjacent to the $119^{\circ}$ exterior angle is $180 - 119=61^{\circ}$. The interior - angle adjacent to the $87^{\circ}$ exterior angle is $180 - 87 = 93^{\circ}$.

Step2: Use the angle - sum property of a triangle

In a triangle, the sum of interior angles is $180^{\circ}$. Let the three interior angles of the triangle be $61^{\circ}$, $93^{\circ}$, and $y^{\circ}$. So, $61+93 + y=180$.

Step3: Solve for $y$

$154 + y=180$. Then $y=180 - 154=32$.

Answer:

$32$