Question

In circle C with m/BCD= 60°, find the
m/BED.
E
B
C
D

Answer 1

To find the measure of angle BED (m/BED), we need to use the properties of angles in a circle.

The angle at the center of the circle is twice the angle at the circumference when both angles subtend the same arc. Therefore,

m/BCD = 60° is the angle at the circumference, and m/BED will be twice this angle since BED and BCD subtend the same arc.

m/BED = 2 \times m/BCD
m/BED = 2 \times 60°
m/BED = 120°

So, the measure of angle BED is 120°.