Question

Circle Z is intersected by AC←→ and CE←→.

What is the measure of AE?

Answer 1

36 = 1/2 (AE - 26)
72 = AE - 26
98 = AE

Answer 2

Measure of AE = 98°

Explanation:

In the given question Circle Z is intersected by secants AC and EC at the points B and D respectively.

Now by the theorem of secants and angles,

m∠BCD =
`(1)/(2)(mAE - mBD)`

By putting the values of ∠BCD = 36°, mBD = 26°

36° =
`(1)/(2)(AE-26)`

Multiply the equation by 2

72° = AE - 26°

mAE = 72 + 26 = 98°

Therefore, measure of AE = 98° is the answer.