Question

current skill $
h
g
(x + 89)°
101°
k
f
j
what is the value of x?
12
what is the measure of ∠fkh?

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so $(x + 89)^\circ = 101^\circ$.

Step2: Solve for x

Subtract 89 from both sides:
$x = 101 - 89$

Step3: Find $\angle FKH$

$\angle FKH$ and $101^\circ$ are supplementary, so $\angle FKH = 180^\circ - 101^\circ$.

Answer:

The value of $x$ is 12.
The measure of $\angle FKH$ is $79^\circ$.