Question

Maria is creating a round stained glass window like the one below. She needs to cut the dark pink glass to the correct size to fit into the frame. At what angle (x) should she cut the glass so that it fits if she knows the arc measure of a is 35º and the arc measure of b is 45º. What does x equal?

Answer 1

Applying the angle of intersecting chords theorem, the value of x is: 40º.

What is the Angle of Intersecting Chords Theorem?

According to the angle of intersecting chords theorem the following equation is true:

x = 1/2(a + b).

Given the following:

a = 35º

b = 45º

Plug in the values

x = 1/2(35 + 45)

x = 1/2(80)

x = 40º

Learn more about the angle of intersecting chords theorem on:

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