Question

Really need help with this.

Answer 1

B = 47°

Explanation:

THe theorem to solve this is very simple. The angle created Angle B intercepts to arcs, one major, another minor.

The major arc is DE, 142 degrees.

The minor arc is AC, 48 degrees.

The two secants intersect outside the circle and creates a vertex angle, Angle B. The theorem tells us that the measure of that vertex angle would be ONE HALF of the difference of the two intercepted arcs. So, we have:

`B=(1)/(2)(142-48)=47`

So, B = 47°