Question

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

Explanation:

Step1: Recall angle - arc relationship

The measure of an angle formed by two chords intersecting inside a circle is half the sum of the measures of the intercepted arcs.
Let the measures of the intercepted arcs be \(a\) and \(b\).
The formula is \(m\angle1=\frac{1}{2}(a + b)\)

Answer:

The formula for the measure of an angle formed by two chords intersecting inside a circle is \(m\angle1=\frac{1}{2}(a + b)\) where \(a\) and \(b\) are the measures of the intercepted arcs. So the correct option is \(m\angle1=\frac{1}{2}(a + b)\)