Question

Using the picture above find m

Answer 1

m<ZWF = 11.5°

Explanation:

Given:

m<N = 23°

Required:

m<ZWF

Solution:

Recall: Inscribed angle theorem states that an inscribed angle in a circle is equal to half of the central angle in a circle with the same subtended arc.

<ZWF is an inscribed angle

<N is a central angle

Therefore,

m<ZWF = ½(m<N)

Plug in the value into the equation and solve

m<ZWF = ½(23)

m<ZWF = 11.5°