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Use the relationships between the angles to find the value of x (2x+16) (6x-20)​

Use the relationships between the angles to find the value of x (2x+16) (6x-20)​-example-1

1 Answer

6 votes

Answer:

x = 9

Explanation:

You want to use the fact that the marked angles are congruent to find the value of x. The angles are marked (6x -20)° and (2x +16)°.

Congruent angles

The marked angles are alternate exterior angles at a transversal crossing parallel lines, so they are congruent.

(6x -20)° = (2x +16)°

4x = 36 . . . . . . . . . divide by °, add 20-2x

x = 9 . . . . . . . . . divide by 9

The value of x is 9.

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