Respuesta :

Answer:

92

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

140 = x+2 + 2x

Combine like terms

140 = 3x +2

Subtract 2 from each side

140-2 = 3x+2-2

138 = 3x

Divide by 3

138/3 = 3x/3

46=x

We want to find angle B

B = 2x

B = 2(46)

B = 92

The answer is 92.

You add everything inside the triangle that equals to 140. So 2x + x + 2 = 140. You add 2x + x together to get 3x. Now you have 3x + 2 = 140. Subtract 2 from both sides. You now have 3x = 138. Divide 3 from both sides. The answer is now x=46. Now you plug 46 into the equations. So 2(46) = 92