Question

What is the measure of angle ACE shown in the diagram below?

Answer 1

35 degrees

Explanation:

Given is a circle with points A,B, C and D marked on it

If O is the centre of the circle, then since AE angle =100

we have angle AOE = 100

Similarly angle BOD = 30

Angle C = half of the difference of AOE and BOD

= 1/2 (100-30) =

1/2(70)

= 35 degrees

Hence angle C = 35 degrees

Option C is the right answer

Answer 2

C. 35°

Explanation:

The angle at C is half the difference of the intercepted arcs:

C = (100° -30°)/2 = 70°/2

m∠C = 35°