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3 years ago

Circle Z is intersected by AC←→ and CE←→. What is the measure of AE?

Mathematics

2 answers:

Serggg [28]3 years ago

6 0

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

wolverine [178]3 years ago

6 0

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 = $\frac{1}{2}(mAE - mBD)$

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

36° = $\frac{1}{2}(AE-26)$

Multiply the equation by 2

72° = AE - 26°

mAE = 72 + 26 = 98°

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

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