Finding 3 Triangles measurement

Question

Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180º. In a triangle, the measures of the three angles are x, x+11, and x+16. What is the measure of each angle?

Answer 1

Since we know that the sum of three angles in a triangle is always 180 degrees we can set the sum of these angles to 180. So my equations will read as follows:

Angle A = x

Angle B = x +11

Angle C = x +16

180 = Angle A + Angle B + Angle C

After I substitute, I get the following:

180 = x + x +11 + x + 16

From there we simply combine like terms and then isolate x:

180 = 3x + 27

-27. -27

153 = 3x

÷3. ÷3

51 = x

Now that we have x I can substitute 51 into the equation for each angle.

Angle A = 51

Angle B = 51+ 11 = 62

Angle C = 51 + 16 = 77

Hope this helps

Answer 2

sum = x+x+11+x+16

= 3x+27 = 180

3x =180-27 = 153

x = 153/3 = 51 degrees

x+11 = 62 degrees

x+16 = 67 degrees

the 3 angles are 51, 62, 67, which sum to 180