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What is the measure of arc BD shown in the diagram below?

What is the measure of arc BD shown in the diagram below?
asked 101k views
4 votes
What is the measure of arc BD shown in the diagram below?

What is the measure of arc BD shown in the diagram below?-example-1
asked
User Mway
by
8.2k points

2 Answers

3 votes

Answer: 45

Explanation:

answered
User Hiwordls
by
8.5k points
4 votes
we know that
The measure of the external angle is the semi-difference of the arcs that it covers.
so
m∠BCD=(1/2)*[arc AE-arc BD]
20=(1/2)*[85-BD]
40=85-BD
BD=85-40
BD=45°

the answer is
BD=45°
answered
User Tapan
by
8.5k points
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