Question

Angles ABC and ADF are alternate interior angles. The measure of angle ABC is equal to (8x+4)° and the measure of angle ADF is equal to(10x-20)°. Determine the measure of each of the angles.

Answer 1

Answer:

∠ABC = 100°

∠ADF = 100°

Step-by-step explanation:

(8x + 4)° = (10x - 20)°

(2x)° = 24°

x = 12°

Compute, knowing that x = 12°

8x + 4 = 8 · 12 + 4 = 100°

10x - 20 = 10 · 12 - 20 = 100°