The sum of the angles ∠B and ∠D will be 180°. Then the correct option is A.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
Circle O is shown with a quadrilateral ABCD inscribed inside it.
Angle A is labeled x + 16.
Angle B is labeled x.
Angle C is labeled 6x - 4.
Angle D is labeled 2x + 16.
We know that the sum of the opposite angles of the cyclic quadrilateral is 180 degrees. Then we have
Then the sum of the angles ∠A and ∠C will be 180°.
∠A + ∠C = 180°
(x + 16)° + (6x - 4)° = 180°
Then the sum of the angles ∠B and ∠D will be 180°.
∠B + ∠D = 180°
(x)° + (2x + 16)° = 180°
Thus, the correct option is A.
More about the cyclic quadrilateral link is given below.
brainly.com/question/15061291
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