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Zepler [3.9K]
3 years ago
5

If arc AD = 62° and arc BC = 28°, then what is the measure of angle AED?

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0
Well according to the Inscribed Angle Theorem, the angle inscribed in a circle is equal to one-half of its intercepted arc. We can apply that theorem to this problem as well. So the measure of AED = 1/2( arc AD + arc BC). Plug in the numbers and simplify.
AED = 1/2( 62 + 28)
AED = 1/2( 90 )
AED = 45
So the measure of angle AED is B. 45 degrees.
Hope I helped!
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