Question 136155
A triangle has angle measures of 2x+10, 4x and 5x+5. What are the measures of each angle from smallest to largest?

All triangles measure 180 degrees.

You were given 3 angles.

Add all 3 angles, equate sum to 180 and solve for x.

2x + 10 + 4x + 5x + 5 = 180

11x + 15 = 180

11x = 180 - 15

11x = 165

x = 165/11

x = 15

We just found x to be 15, right?

The angles are 2x + 10, 4x and 5x + 5.

Replace x with 15 and do the math.

2(15) + 10 = 30 + 10 = 40

Next: 4(15) = 60

Next: 5(15) + 5 = 75 + 5 = 80

From smallest to largest:

40, 60, 80