Answer:
x= 20
y = 5
angle K is 43°
angle L is 137°
ML is 17
Explanation:
To solve for x, remember that any two angles that share the same line on a regular quadrilateral with two pairs of parallel sides must be supplementary: they add to 180°. So you can set up an equation to solve.
6x +17 + 2x + 3 = 180
Combine like terms 6x + 2x + 17+3 =180
8x = 180 - 20.
8x = 160. x = 20
Substitute 20 for x in the expressions to get values for the angles. Remember that opposite angles of a parallelogram are congruent.
To solve for y, Set up an equation
6y -13 = 32 -3y Combine like terms.
6y + 3y = 32 + 13
9y = 45 y =5
Substitute in the expression to get the length of ML
32 - 3(5)
32 –15 = 17
17 is the length.