Question

Find the measure of the exterior angle​

Answer 1

133°

Explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

3x + 13 is an exterior angle of the triangle , then

3x + 13 = x + 10 + 83 , that is

3x + 13 = x + 93 ( subtract x from both sides )

2x + 13 = 93 ( subtract 13 from both sides )

2x = 80 ( divide both sides by 2 )

x = 40

Then

exterior angle = 3x + 13 = 3(40) + 13 = 120 + 13 = 133°

Answer 2

133°

Explanation:

Exterior Angle Theorem states that the sum of the two remote interior angles is equal to the exterior angle of the triangle.

• This means that 83 + x + 10 = 3x + 13, and we have to solve it algebraically.

Step 1: Combine like terms.

• 
  `(83+10) + x = 3x + 13`
• 
  `93 + x = 3x + 13`

Step 2: Subtract x from both sides.

• 
  `93 + x - x = 3x + 13 - x`
• 
  `93 = 2x + 13`

Step 3: Subtract 13 from both sides.

• 
  `93-13=2x+13-13`
• 
  `80=2x`

Step 4: Divide both sides by 2.

• 
  `80/2=2x/2`
• 
  `x = 40`

Step 5: Plug in 40 in 3x + 13.

• 
  `3(40) + 13`
• 
  `120+13`
• 
  `133`

Therefore, the answer is 133°.

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