# How do I do this? Whats the answer?

May 3, 2018

${x}^{\circ} = 97$

#### Explanation:

Let the angle next to the angle ${x}^{\circ}$ be A and the third and final angle inside the triangle be B

So $B = {32}^{\circ}$ because it is vertically opposite angles

So ${x}^{\circ}$ equals to $35 + 30 + 32$ because exterior angle is equal to the sum of 2 opposite interior angles

therefore, ${x}^{\circ} = 97$

May 3, 2018

x = 97°

#### Explanation:

Let's consider this as $\Delta A B C$.

The measurement of $\angle A$ is 35 + 30, or 65 degrees.
The measurement of $\angle C$ is 32 degrees. We know this because it is a vertical angle to the given 32 degree angle (vertical angles are $\cong$)

The exterior angle theorem states that the exterior angle of a given triangle is equal to the non-adjacent angles of the given triangle.

Based on said theorem, $x = \angle A + \angle C$
$x = 65 + 32$
$x = 97$