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I really need help with math-example-1

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Answer:


m\angle BED = 34^\circ

Explanation:

Angles in a Circle

We need to recall some basic concepts.

An inscribed angle is the angle formed in the interior of a circle when two secant lines intersect.

An arc of a circle is a portion of the circumference of the circle.

Theorem: Inscribed angles subtended by the same arc are equal.

In the figure provided, the points BD form an angle of 34° and the arc BD.

Similarily, arc BD also has two secants BE and DE that form the angle BED.

Thus, applying the above theorem, angle BED and 34° are subtended by the same arc, and the measure of BED is also 34°


\mathbf{m\angle BED = 34^\circ}

User Sami Haddad
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