To find the measure of angle A-G-F, we first need to find the measure of angle F-G-B. Since angles on a straight line add up to 180 degrees, we know that angle A-G-F is equal to 180 degrees - angle A-G-B - angle F-G-B.
Angle F-G-B = 180 degrees - angle F-G-E = 180 degrees - 22 degrees = 158 degrees
Therefore, angle A-G-F = 180 degrees - 60 degrees - 158 degrees = 180 degrees - 218 degrees = -38 degrees
It is not possible for an angle to be negative in Euclidean geometry, so there may be a mistake in the problem statement or we have made a mistake in our calculations.
his figure shows 3 intersecting lines.
Lines A-D, B-E, and C-F intersect at G. The angles F-G-E is 22 degrees, angle A-G-B is 60 degrees.
What is the measure of ?
A.
68°
B.
82°
C.
90°
D.
98°
1 answer