Question

abcd is a quadrilateral inscribed in a circle, as shown below: what equation can be used to solve for angle c? (x + 16) + (x) = 180 (x + 16) + (6x - 4) = 180 (x + 16) - (2x + 16) = 180 (x + 16) + (x) = 90

Explanation:

Step1: Recall property of cyclic quadrilateral

In a cyclic quadrilateral, opposite angles are supplementary (sum to 180°). Angle A = (x + 16)° and angle C=(6x - 4)°.

Step2: Set up the equation

Since angle A and angle C are opposite angles in the cyclic - quadrilateral ABCD, we have (x + 16)+(6x - 4)=180.

Answer:

(x + 16)+(6x - 4)=180