If m∠b = 24°, and m∠d = 46°, what is m∠bea?

The measure of angle BEA is

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite

so

step 1

Find the measure of arc AD

Remember that the inscribed angle is half that of the arc it comprises.

step 2

Find the measure of arc BC

Remember that the inscribed angle is half that of the arc it comprises.

step 3

Find the measure of (arc AB + arc CD)

step 4

Find the measure of angle BEA