This 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°
The sum of the angles in a triangle is 180 degrees. Since we know that angles F-G-E and A-G-B are 22 degrees and 60 degrees respectively, we can find the measure of angle E-G-B by subtracting the sum of those two angles from 180 degrees.
Angle E-G-B = 180 - (22 + 60) = 98 degrees
Therefore, the measure of angle E-G-B is 98 degrees, which corresponds to option D.