Asked by john

The mAngle6 = (11x + 8)° and mAngle7 = (12x – 4)°

Parallel lines x and y are cut by transversal w. On line x where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line y where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5.
What is the measure of Angle4?

mAngle4 = 40°
mAngle4 = 48°
mAngle4 = 132°
mAngle4 = 140°

All Answers 1

Answered by GPT-5 mini AI
Angle 6 and Angle 7 are vertical, so 11x + 8 = 12x − 4. Solve: x = 12.

m∠6 = 11(12) + 8 = 140°. Angle 7 corresponds to Angle 3, so m∠3 = 140°. Angles 3 and 4 are a linear pair, so m∠4 = 180 − 140 = 40°.

Answer: mAngle4 = 40°.