Question

-25 Points-
Find the measure of angle FGE.
Enter a decimal rounded to the nearest tenth.

Answer 1

Answer:

∠FGE = 52.5°

Step-by-step explanation:

∠FGE is a secant - secant angle and is measured as

∠FGE = 0.5( m arc BD - m arc FE), that is

∠FGE = 0.5( arc BC + arc CD - arc FE) = 0.5(135 - 30) = 0.5(105) = 52.5°

   

Answer 2

Based on the angles of intersecting secants theorem, the measure of angle FGE is: 52.5°.

What is the Angles of Intersecting Secants Theorem?

The angles of intersecting secants theorem states that the angle formed outside a circle by two intersecting secants is half the measure of the positive difference of the intercepted arcs.

Thus, applying the angles of intersecting secants theorem, we have:

m∠FGE = 1/2[(100 + 35) - 30]

m∠FGE = 1/2[(105]

m∠FGE = 52.5°

Learn more about angles of intersecting secants theorem on:

https://brainly.com/question/1626547

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