Question

Find the value of x
x=___

Answer 1

5

Explanation:

(12x + 19) + (22x - 9) = 34x + 10

since both are supplementary angles, 34x + 10 = 180

simples algebra leads us to x = 5

Answer 2

x = 5

Explanation:

You want the value of x given a linear pair of angles marked (12+19) and (22x-9).

Linear pair

A linear pair of angles forms a straight line. Their combined measure is 180°, so we have ...

(12x +19) +(22x -9) = 180

34x = 170 . . . . . . . . . . . . . simplify, subtract 10

x = 5 . . . . . . . . . . . divide by 34

The value of x is 5.

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Additional comment

The measures of the angles are 79° and 101°.

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