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Help me please #7!!!!!!

Help me please #7!!!!!!-example-1
User Nicojo
by
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1 Answer

7 votes

Applying parallel line postulate twice

36degree=3x degree +2y degree

126 degrees=12 x degree + 2y degree

So, the two equations are:

3x + 2y = 36

and

12x + 2y = 126

Eliminate x to solve for y

-(3x + 2y)= -(36)

-3x - 2y = -36

Combine the equations

(-3x - 2y)+ (12x + 2y) = (-36) + (126)

-3x -2y + 12x + 2y = -36 + 126

9x = 90

x = 10

Plug value of x back into to the equations to solve for y

3(10) + 2y = 36

30 + 2y = 36

2y =6

y = 3

Optional

Plug x into the other equation to check for error

12(10) +2y = 126

120 + 2y =126

2y = 6

y = 3

User Jaccar
by
8.0k points

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