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

Cierra Castillo

Cierra Castillo

Answered question

2022-07-10

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.

Answer & Explanation

haingear8v

haingear8v

Beginner2022-07-11Added 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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