Question

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)

Answer 1

Answer is B :)

Explanation:

#edmentumgang

Answer 2

`\angle A + \angle C = \angle B + \angle D`

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:

`\angle A + \angle C = 180`

`\angle B + \angle D = 180`

`180=180`

So:

`\angle A + \angle C = \angle B + \angle D`