BTGmoderatorDC wrote:
In the figure shown, what is the value of x ?
A. 60
B. 80
C. 85
D. 90
E. 95
Since angles on a line must add to 180°, we can see that there are three 30° angles in our diagram...
Next, let's focus on the BLUE triangle.
Since angles in a triangle must add to 180° (and since we already have two angles measuring 30° each),
the third angle must be 120°
Next, we have two angles sharing the same GREEN line.
Since angles on a line must add to 180°, we can see that the other angle must be 60°
Finally, we can focus on the RED triangle.
Since angles in a triangle must add to 180° (and since we already have two angles measuring 30° and 60°),
the third angle (x) must be 90°
Answer: D
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
