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scZoUnD [109]
3 years ago
5

Help me pls.......... ​

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

x = 72 , y = 108

Step-by-step explanation:

2x and \frac{x}{2} are adjacent angles on a straight line and sum to 180° , that is

2x + \frac{x}{2} = 180 ( multiply through by 2 to clear the fraction )

4x + x = 360

5x = 360 ( divide both sides by 5 )

x = 72

--------------------------

\frac{x}{2} = \frac{72}{2} = 36

\frac{x}{2} and \frac{y}{3} are vertically opposite and are congruent , then

\frac{y}{3} = 36 ( multiply both sides by 3 )

y = 108

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