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°

20, 40, and 120

Step-by-step 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)

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

think about it deeply and passionately about this property

i am sorry