Question

7 find the value of x.

Explanation:

Step1: Find interior adjacent angle

The angle adjacent to $2x^\circ$ is supplementary to it, so it equals $180^\circ - 2x^\circ$.

Step2: Sum triangle interior angles

The right triangle has angles $90^\circ$, $50^\circ$, and $180^\circ - 2x^\circ$. Their sum is $180^\circ$.
$$90 + 50 + (180 - 2x) = 180$$

Step3: Simplify and solve for x

Combine like terms and isolate $x$.
$$320 - 2x = 180$$
$$-2x = 180 - 320$$
$$-2x = -140$$
$$x = \frac{-140}{-2} = 70$$

Answer:

$70$