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The measure of arc BCD is

80 degrees
40 degrees
100 degrees
140 degrees

please show work!!!

The measure of arc BCD is 80 degrees 40 degrees 100 degrees 140 degrees please show-example-1

1 Answer

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Answer:

m∠BCD = 140°

Explanation:

ABCD is cyclic quadrilateral. A property of cyclic quadrilateral states that the opposite angles of it sum up to 180°. Here:

m∠A + m∠C =180° and m∠B + m∠D = 180°

So, m∠A + m∠C =180°

m∠A = 40° (given in the question)

40° + m∠C = 180°

m∠C = 180° - 40° = 140°

∴m∠C = m∠BCD = 140°

User Paolo Raez
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