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How do i solve this question

How do i solve this question-example-1
User Martz
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1 Answer

1 vote

Answer:

142

Explanation:

Alternate exterior angles are congruent which means their measures are equal.

We can write the following equation to find the value of x so that we can calculate the angle measures:

5x - 34 = 3x + 8

  • Transfer like terms to the same side of the equation.

5x - 3x = 8 + 34

  • Add/subtract like terms.

2x = 42

  • Divide both sides with 2.

x = 21

  • Replace the x with 21 in either expression to find the measure of angles.

3x + 8 -> 3×21 + 8 = 71

Since they are congruent angles, their sum will be:

71×2 = 142

User Hildebrando
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