Question

find the measure of \\( \angle orq \\).
\\( m \angle orq = \square ^ { \circ } \\)

Explanation:

Step1: Set angles equal (vertical angles)

$9x - 4 = 3x + 40$

Step2: Solve for x

$9x - 3x = 40 + 4$
$6x = 44$
$x = \frac{44}{6} = \frac{22}{3}$

Step3: Calculate ∠ORQ

$3x + 40 = 3(\frac{22}{3}) + 40 = 22 + 40 = 62$

Answer:

62