122k views
5 votes
In circle C with the measure of minor arc BD=42°, find mBED.

In circle C with the measure of minor arc BD=42°, find mBED.-example-1
In circle C with the measure of minor arc BD=42°, find mBED.-example-1
In circle C with the measure of minor arc BD=42°, find mBED.-example-2
User Nutzt
by
7.8k points

1 Answer

2 votes

Answer: mBED = 2(42°) = 84°

Explanation:
We are asked to find the measure of the central angle ∠BED in the circle given that the measure of the minor arc BD is 42°.

We can use the formula that states that the measure of a central angle is equal to twice the measure of its intercepted arc. That is,

m∠BED = 2*mBD

We can substitute the value of mBD, which is 42°, into our equation.

m∠BED = 2*42°

m∠BED = 84°

Therefore, the measure of the central angle ∠BED is 84°.

User Oshri
by
9.0k points