Can anyone help me with this problem? I think I probably miss some theorems. In the figure angle AE

Cierra Castillo 2022-07-10 Answered
Can anyone help me with this problem? I think I probably miss some theorems.
In the figure angle AED = 30 deg, and the minor arc AB,BC, and CD are all equal. The degree measure of the minor arc AD is
a) not enought information, b) 30 deg, c) 105 deg, d) 45 deg, e) none of these.
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Answers (1)

haingear8v
Answered 2022-07-11 Author has 13 answers
From the symmetry that AB=CD, we know that Δ B C E is isosceles and that lines AD and BC are parallel. We can add some angles to the original diagram:

The major arc B D = 2 105 , hence A B = B C = C D = 105 and minor arc A D = 45 .

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