Question

I really need help with math

Answer 1

Answer:

$m\angle BED = 34^\circ$

Step-by-step 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°

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