103k views
1 vote
Calculate the measure of arc AG if a=20 and b=10

Calculate the measure of arc AG if a=20 and b=10-example-1

1 Answer

4 votes

Answer:

90°

Explanation:

∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.

Arc AG is the other half of the semicircle AGE that includes 90° arc GE.

So, arc AG is 90°.

__

Comment on the problem

"a" and "b" are irrelevant to arc AG. They come into play for arc CE.

User Jeremy Huiskamp
by
3.8k points