Question

angle relationships
m∠qhl = (4x)°
m∠ahc = 84°
find x.
(image of intersecting lines with a right angle at h)

Explanation:

Step1: Identify vertical angles

$\angle QHL$ and $\angle AHC$ are vertical angles, so they are congruent.

Step2: Set up equation

$4x = 84$

Step3: Solve for x

$x = \frac{84}{4}$

Answer:

$21$