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Select the correct answer. 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)

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MrRoyal

Answer:

[tex]\angle A + \angle C = \angle B + \angle D[/tex]

Step-by-step explanation:

See attachment for cyclic quadrilateral

From the attachment:

A opposites C and B opposites D

In a cyclic quadrilateral:

Opposite angles adds up to 180

So:

[tex]\angle A + \angle C = 180[/tex]

[tex]\angle B + \angle D = 180[/tex]

[tex]180=180[/tex]

So:

[tex]\angle A + \angle C = \angle B + \angle D[/tex]

Ver imagen MrRoyal
130001970

Answer:

Answer is B :)

Step-by-step explanation:

#edmentumgang

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