Question

What is the measure of angle ACB? (geometry)

Answer 1

∠ACB = 30°

Explanation:

Finding ∠ACB :

• ∠ACB = 1/2 x (∡AB - ∡DE)
• ∠ACB = 1/2 x (80° - 20°)
• ∠ACB = 1/2 x 60°
• ∠ACB = 30°

Answer 2

• 30°

Explanation:

The angle between two secants is half the difference of intercepted arcs.

• m∠ACB = 1/2(mAB - mDE)

Substitute the arc values and calculate

• m∠ACB =1/2(80° - 20°) = 1/2(60°) = 30°