Question

The sum of the angle measures in a triangle is 180. The angles of a

certain triangle measure x°, 2xº, and 6x° Solve for the measure of
each angle.


40°, 60° and 80°
50°, 50° and 80°
20°, 40° and 120°
30°, 50° and 100°

Answer 1

It’s is 20,40 and 120

Answer 2

20, 40, and 120

Explanation:

x, 2x, and 6x have one thing in common: X. X is the same number throughout so if we find x we can just finish the equation by multiplying x by its coefficient.

x+2x+6x = 180. (Sum of angle measures)

9x = 180 (Add up the left side)

9x/9 = 180/9 (Divide both sides by 9 to cancel out the 9 and leave the x)

x = 20

Now we know what x is so:

Angle 1 = 20. (We know x is 20, so that one is easy.)

Angle 2 = 40 (Simply 2*x or 2*20)

Angle 3 = 120 (Simply 6*x or 6*20)