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°

1 answer

To find the measure of angle C-G-D, we need to use the properties of intersecting lines.

Since F-G-E is 22 degrees and A-G-B is 60 degrees, we can see that angle G is the vertex of both these angles. Therefore, the sum of angles F-G-E and A-G-B will be equal to the straight angle formed by angles C-G-D and D-G-B.

So, angle C-G-D = 180 - 22 - 60
angle C-G-D = 180 - 82
angle C-G-D = 98°

Therefore, the measure of angle C-G-D is 98 degrees.

The answer is D. 98°.