circle x is shown in the diagram. which equation can be used to solve for m∠1? o m∠1 = 1/2(a - b) o m∠1 =…

circle x is shown in the diagram. which equation can be used to solve for m∠1? o m∠1 = 1/2(a - b) o m∠1 = 1/2(a + b) o m∠1 = 1/2(c - d) o m∠1 = 1/2(c + d)

circle x is shown in the diagram. which equation can be used to solve for m∠1? o m∠1 = 1/2(a - b) o m∠1 = 1/2(a + b) o m∠1 = 1/2(c - d) o m∠1 = 1/2(c + d)

Answer

Answer:

C. $m\angle1=\frac{1}{2}(c - d)$

Explanation:

Step1: Recall angle - arc relationship

The measure of an angle formed by two secants intersecting outside a circle is half the difference of the measures of the intercepted arcs.

Step2: Identify intercepted arcs

The arcs intercepted by the secants are arc $c$ and arc $d$.

Step3: Apply the formula

The formula for the measure of the angle $\angle1$ formed by the two secants is $m\angle1=\frac{1}{2}(c - d)$.