Question

question 8 of 10 which equation can be solved to find x, the measure of in the diagram below? a. $\frac{1}{2}(185 - x)=76$ b. $\frac{1}{2}(185 + x)=76$ c. $x - 76 = 185$ d. $x + 76 = 185$

Explanation:

Step1: Recall the secant - secant angle formula

The measure of an angle formed by two secants intersecting outside a circle is given by $\frac{1}{2}(m\overset{\frown}{major}-m\overset{\frown}{minor})$. Here, the major arc is $185^{\circ}$ and the minor arc is $x^{\circ}$, and the angle formed by the two secants is $76^{\circ}$.
So the formula becomes $\frac{1}{2}(185 - x)=76$.

Answer:

A. $\frac{1}{2}(185 - x)=76$