Question

Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true? A. `"m"/_A +"m"/_B = "m"/_C + "m"/_D ` B. `"m"/_A + "m"/_C = "m"/_B + "m"/_D ` C. `"m"/_A + "m"/_D = "m"/_B + "m"/_C` D. `"m"/_A + "m"/_B = 2("m"/_C + "m"/_D) `

Answer 1

The answer is m<A + m<C = m<B + m<D

Explanation:

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Answer 2

Opposite angles of an inscribed quadrilateral are supplementary, so it is true that ...

... B. m∠A + m∠C = m∠B + m∠D . . . . . = 180°