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just olya [345]
3 years ago
14

Really need help with this.

Mathematics
1 answer:
marishachu [46]3 years ago
3 0

Answer:

B = 47°

Step-by-step 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=\frac{1}{2}(142-48)=47

So, B = 47°

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