Question

PARALLEL LINES
Find x and y.
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Answer 1

Answer:

x = -25
y = -13.33


Step-by-step explanation

To find x
(130 - 2x)° + 4x° = 180°
130 - 2x + 4x = 180
130 - 2x = 180
130 - 180 = 2x
x = -50 ÷ 2
x = -25 answer

To find y
(130 - 2x)° + (3y + 40)° = 180°
130 - 2x + 3y + 40 = 180
170 - 2x + 3y = 180
By putting the vaue of x in the equation
170 - 2(-25) + 3y = 180
170 + 50 + 3y = 180
3y = 180 - 170 - 50
y = -40 ÷ 3
y = -13.33 answer

Hope that helps...

Answer 2

4x = (130 - 2x) so x = 65/3

(3y + 40) + (130 -2x) = 180 because the angles are supplementary

plug in x

3y + 40 + 130 - 2(65/3) = 180

so 3y = 95/3

therefore y = 95/6