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Given parallelogram JKLM, complete the following statements.

Given parallelogram JKLM, complete the following statements.-example-1
User Hello Man
by
7.1k points

2 Answers

8 votes

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.

User Peter Keller
by
7.0k points
8 votes

Answer:

Explanation:

x=20

y=5

Angle K = 43

Angle L =137

ML=17

User Fabiano
by
6.7k points
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