please help, and please show work if you can :)
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Answer:
x = 13
Step-by-step 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
Answer:
x = 13
Step-by-step 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