Question

question #19
enter the answer in the space provided.
consider the figure shown.
what is the value of x in degrees?

Explanation:

Step1: Find adjacent interior angle

The angle adjacent to $134^\circ$ is $180^\circ - 134^\circ = 46^\circ$.

Step2: Find adjacent interior angle

The angle adjacent to $56^\circ$ is $180^\circ - 56^\circ = 124^\circ$.

Step3: Sum triangle angles to 180°

$$2x + 46 + 124 = 180$$

Step4: Simplify and solve for x

$$2x + 170 = 180$$
$$2x = 10$$
$$x = \frac{10}{2} = 5$$

Answer:

$5$