This figure shows 3 intersecting lines.

Question

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°

Answer 1

To find the measure of angle G, we first need to determine the sum of the angles around point G.

Angle F-G-E = 22°
Angle A-G-B = 60°
Angle C-G-D = x (we need to find this)

The sum of angles around point G should be 360°, so we can set up an equation:
22° + 60° + x = 360°
82° + x = 360°
x = 360° - 82°
x = 278°

Therefore, the measure of angle C-G-D is 278°. To find angle G, we need to subtract the known angles from the sum around point G:
360° - 22° - 60° - 278° = 360° - 360° = 0°

So, the measure of angle G is 0°. This is not one of the options provided, so there might be an error in the question.