Question

practice: set up an equation and solve for
3.
8x - 4
60°

m∠a = ____________
m∠b = ____________

Explanation:

Step1: Identify angle relationship

Consecutive interior angles are supplementary: \(60^\circ + (8x - 4) = 180^\circ\)

Step2: Solve for x

\(8x = 180 - 60 + 4 = 124\) → \(x = 15.5\)

Step3: Find m∠b

\(m\angle b = 8x - 4 = 8(15.5) - 4 = 120^\circ\)

Step4: Determine m∠a

\(m\angle a = 60^\circ\) (corresponding angle to given \(60^\circ\))

Answer:

m∠a = 60°, m∠b = 120°