Question

Find the value of x

Answer 1

Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.

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Add whole numbers.

2x + 1 + 37 + 118 = 180

Add whole number (if there is any).

2x + 38 +118 = 180

Subtract 156 from both sides to have one side have a variable.

2x + 156 = 180

     -156     -156

Divide both sides by 2 because you don't need the whole number with the variable.

2x = 24

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2       2

You get the answer as 12.

x = 12

Check:

2(12) + 1 + 37 + 118 = 180

24 + 1 + 37 + 118 = 180

25 + 37 + 118 = 180

62 + 118 = 180

180 = 180