Question

use the figure below to answer the following questions.
what is the value of x?
11
what is the measure of ∠rwt?

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. $\angle TWR = 66^\circ$, so $6x = 66$.

Step2: Solve for x

Divide both sides by 6.
$x = \frac{66}{6}$

Step3: Find $\angle RWT$

$\angle RWT$ is supplementary to $66^\circ$.
$\angle RWT = 180^\circ - 66^\circ$

Answer:

1. The value of $x$ is 11
2. The measure of $\angle RWT$ is $114^\circ$