Answer:
[tex]m\angle BED = 34^\circ[/tex]
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°
[tex]\mathbf{m\angle BED = 34^\circ}[/tex]
