Question

1b) Answer the following: * If arc WX = 40' and arc Y Z = 92, find m23.

Answer 1

Answer:

m<3 = 66°

Step-by-step explanation:

<3 is an angle with its vertex inside the circle shown in the diagram. This, it's an internal angle.

The measure of an internal angle is equal to half the sum of the measure of the arcs intercepted.

Thus, the equation that shows relationship between <3 and arc WX and arc YZ is shown below:

m<3 = ½(40 + 92)

m<3 = ½(132)

m<3 = 66°