Question

problem 15: find x and y. (first taught in lesson 31) after you enter your answer press go. x = y =

Explanation:

Step1: Use angle - sum property of a triangle

The sum of interior angles of a triangle is $180^{\circ}$. In the left - hand triangle, we have $x + 50+75 = 180$.

Step2: Solve for $x$

$x=180-(50 + 75)=180 - 125=25$.

Step3: Use the property of supplementary angles

The angle adjacent to $y$ and the $75^{\circ}$ angle in the triangle are supplementary. So $y+75 = 180$.

Step4: Solve for $y$

$y=180 - 75=105$.

Answer:

$x = 25$, $y = 105$