Answer:
Measure of AE = 98°
Step-by-step 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 = [tex]\frac{1}{2}(mAE - mBD)[/tex]
By putting the values of ∠BCD = 36°, mBD = 26°
36° = [tex]\frac{1}{2}(AE-26)[/tex]
Multiply the equation by 2
72° = AE - 26°
mAE = 72 + 26 = 98°
Therefore, measure of AE = 98° is the answer.
