Question

Please help, and please show work if you can :)

Answer 1

x = 13

Explanation:

Linear Pair of Angles

Two intersecting lines form 4 angles. The measure of any pair of adjacent angles must add up to 180°.

In the figure, the angles 3x+60 and 3x+42 are linear, thus:

3x + 60 + 3x + 42 = 180

Simplifying:

6x + 102 = 180

Subtracting 102:

6x = 78

Dividing by 6:

x = 78/6 = 13

x = 13

Answer 2

x = 13

Explanation:

3x + 60 + 3x + 42 = 180 {Linear pair}

3x + 3x + 60 + 42 = 180 {Combine like terms}

6x + 102 = 180 {Subtract 102 from both sides}

6x = 180 - 102

6x = 78 {Divide both sides by 6}

x = 78/6

x = 13