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What is the measure of arc BC?

What is the measure of arc BC?-example-1

1 Answer

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Answer:

The correct answer is second option

78°

Explanation:

Points to remember

The measure of arc BC = 2 * measure of angle BDC

To find the measure of arc BC

From the figure we can see the BD is the diameter of the given circle.

Therefore the ΔBDC is right angled triangle. m<C = 90°

m<CBD = 51° (given)

m<CBD + m<BDC = 90

m<BDC = 90 - m<CBD

= 90 - 51 = 39

Therefore measure of arc BC = 2 *m<BDC

= 2 * 39

= 78°

The correct answer is second option

78°

User Volker Andres
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