Question

(c) problem 19: (first taught in lesson 24)
find x.
after you enter your answer press go.
x =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of angles in a triangle is $180^{\circ}$. Consider the triangle formed by the angles $37^{\circ}$, $58^{\circ}$ and the angle adjacent to $x$.

Step2: Calculate the adjacent angle to $x$

Let the adjacent angle to $x$ be $y$. Then $y=180-(37 + 58)=180 - 95=85^{\circ}$.

Step3: Use vertical - angle property

Since $x$ and $y$ are vertical angles, and vertical angles are equal, so $x = 85^{\circ}$.

Answer:

$x = 85$