Question

If m AB arc= 50° and mCD arc = 24°, what is the value of x? The figure is not drawn to scale.

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to note that the measure of an angle formed by two chords that intersect within a circle is equal to half the sum of the measures of the arcs intercepted by the angle.

So, for angle x, we have:

m(arc AB) + m(arc CD) = 50° + 24° = 74°

As angle x is formed by arcs AB and CD, we have:

m(angle x) = 1/2 * (m(arc AB) + m(arc CD))
x = 1/2 * 74°
x = 37°

Therefore, the value of x is 37°.