which equation is correct regarding the measure of ∠mnp?\n○ (mangle mnp=\frac{1}{2}(x - y))\n○ (mangle…

which equation is correct regarding the measure of ∠mnp?\n○ (mangle mnp=\frac{1}{2}(x - y))\n○ (mangle mnp=\frac{1}{2}(x + y))\n○ (mangle mnp=\frac{1}{2}(z + y))\n○ (mangle mnp=\frac{1}{2}(z - y))

which equation is correct regarding the measure of ∠mnp?\n○ (mangle mnp=\frac{1}{2}(x - y))\n○ (mangle mnp=\frac{1}{2}(x + y))\n○ (mangle mnp=\frac{1}{2}(z + y))\n○ (mangle mnp=\frac{1}{2}(z - y))

Answer

Answer:

A. $m\angle MNP=\frac{1}{2}(x - y)$

Explanation:

Step1: Recall angle - arc relationship

The measure of an angle formed by a tangent and a secant to a circle is half the difference of the measures of the intercepted arcs.

Step2: Identify intercepted arcs

The two intercepted arcs are arc $x$ and arc $y$.

Step3: Apply the formula

By the formula for the measure of an angle formed by a tangent and a secant, $m\angle MNP=\frac{1}{2}(x - y)$.