C. 45
Since the measure of angle F-G-E is x, the measure of angle C-G-D is 2x. Since all angles in a triangle add up to 180 degrees, we can set up the equation:
x + x + 2x = 180
4x = 180
x = 45
Therefore, the value of x is 45 degrees.
In the figure,
←→
B
E
is perpendicular to
←→
A
D
.
Three lines A-D, B-E, and C-F are intersecting at G to form 6 angles B-G-A, A-G-F, F-G-E, E-G-D, D-G-C, and C-G-B. The measure of angle F-G-E is x degrees.
The measure of
∠
C
G
D
is twice the measure of
∠
F
G
E
. What is the value of x?
A.
15
B.
30
C.
45
D.
60
1 answer