Question

Solve for x in the figure below

Answer 1

Explanation:

`sum \: of \: angles \: for \: a \: triangle = 180 \\ 2x + 2 + x + 2 + 2x - 1 = 180 \\ = 5x + 3 = 180 \\ = 5x = 177 \\ = x = (177)/(5) \\ x = 35.4 \\ thank \: you`

Answer 2

x = 35.4

Explanation:

Sum of all interior angles in a triangle = 180°

Therefore:

(x + 2)° + (2x + 2)° + (2x - 1)° = 180°

x + 2 + 2x + 2 + 2x - 1 = 180

Collect like terms

x + 2x + 2x + 2 + 2 - 1 = 180

5x + 3 = 180

Subtract 3 from each side

5x + 3 - 3 = 180 - 3

5x = 177

Divide both sides by 5

5x/5 = 177/5

x = 35.4