Question

I’m having a difficult time understanding how to find the variables and measures!

Answer 1

Have in mind the following properties:

- Opposite sides are congruent.

- Opposite angles are congruent

- Consecutive angles are supplementary

- The diagonals of a prallelogram bisect each other.

- Each diagonal of a parallelogram separetes it into two congruent triangles.

So

7)

`2x - 5 =  5x -17\\12 = 3x\\x=4\\\\5y + 2 = y +22\\4y = 20\\y =5`

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8)

`7y - 37 = 2y +10\\5y = 47\\y =47/5 = 9.4\\\\( 2y + 10) + (4x + 40) = 180\\2y + 4x = 130\\2(47/5) + 4x = 130\\4x = 130 -2 (47/5) \\x= 27.8`