<PRE><B>Question 957602</B>
the opposite angles of a parallelogram are equal.
the adjacent angles of a parallelogram are supplementar6y.
the sum of the angles of a parallelogram is 360 degrees.
each of the larger angles are supplementary to each of the smaller angles.
one smaller angle plus one larger angle is equal to 180 degrees.


let x = larger angle.
let y = smaller angle.


x = 3*y + 20


x + y = 180


y = 180 - x


x = 3 * y + 20 becomes:


x = 3 * (180 - x) + 20 which becomes:


x = 3 * 180 - 3 * x + 20 which becomes:


x = 540 - 3 * x + 20 which becomes:


x = 560 - 3 * x which becomes:


4 * x = 560 which becomes:


x = 140


since x + y = 180, this means that y = 40


your larger angle is 140
your smaller angle is 40


3 * 40 + 20 = 140


solution is confirmed.


x = 140 = larger angle
y = 40 = smaller angle.


2 larger angles plus 2 smaller angles = 360 = sum of the interior angles of a parallelogram.


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