Question

angle relationships
m∠bhq = (5 + 2x)°
m∠lhq = 57 °
find x.
(there is a diagram with lines intersecting at point h, with a right angle symbol, and points l, q, s, b, a, c on the lines)

Explanation:

Step1: Identify angle sum

$\angle BHQ + \angle LHQ = 90^\circ$

Step2: Substitute given values

$(5 + 2x) + 57 = 90$

Step3: Simplify left side

$2x + 62 = 90$

Step4: Isolate term with x

$2x = 90 - 62$
$2x = 28$

Step5: Solve for x

$x = \frac{28}{2}$

Answer:

$x = 14$