Question

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

Explanation:

Step1: Recall property of cyclic quadrilateral

In a cyclic quadrilateral, opposite angles are supplementary (sum to 180°). Angle B with measure \(x\) and angle D with measure \((2x + 16)^{\circ}\) are opposite angles.

Step2: Set up the equation

Based on the supplementary - angle property, we have \((2x + 16)+x=180\).

Answer:

\((2x + 16)+x = 180\)