Answer: x= 24 and y= 73
Explanation:
we know
The opposite interior angles are equal and
The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.
the sum of the interior angles of a parallelogram is 360 degrees.
So 107 + y = 180
180 - 107 = 73
Y = 73
y is equal to its opposite angle so
X can be found by 73 = 3x + 1
Subtract 1 from both sides
73 - 1 = 3x +1 -1
Simplify
72 = 3x
Divide both sides by 3 to solve for x
72/3 = 3/3x
x=24
Check your work by adding the 4 angles together to equal 360
107 + 107 + 73 + 73 = 360
360 = 360
They equal so your solution is correct