Question

current skill $
find the measure of angle 7.
label optional

Explanation:

Step1: Identify vertical angles

Angle 1 = \(8x + 159\), Angle 4 = \(2x + 81\) (vertical angles are equal)

Step2: Set up equation

\(8x + 159 = 2x + 81\)

Step3: Solve for x

\(8x - 2x = 81 - 159\) → \(6x = -78\) → \(x = -13\)

Step4: Find angle 4

\(2(-13) + 81 = -26 + 81 = 55^\circ\)

Step5: Angle 4 = Angle 7 (vertical angles)

Angle 7 = \(55^\circ\)

Answer:

55