In angle FGH, the measure of angle F is twice as large as the measure of angle G and the measure of angle G is 3 times the measure of angle H. Find the measure of angle G.

Answer 1

Two challenges here: figuring out that the first "angle" mentioned is really "triangle;" deciding how to set up an equation to find the measure of one of the real angles. Since there are 180 degrees in a triangle, our math sentence will end in "= 180." To the left of the equal sign we'll sum up angles F, G, and H. Look for a progression. G is 3 times H, and F is 2 times G. If we call H X, then G will be 3X and F will be 6X, So we can say X + 3X + 6X = 180 or 10X = 180 and X = 18. G is 3 times X or 54.

Answer 2

I take it this is a triangle.

g+2g+g/3=180

3.333g=180

g=54°