39.1k views
0 votes
Find the values of x and y that make the quadrilaterals a parallelogram

Find the values of x and y that make the quadrilaterals a parallelogram-example-1
User Deimos
by
4.3k points

1 Answer

2 votes

Answer:

x = 3

m<m = 114°

m<n = 66°

Explanation:

✔️Opposite angles of a parallelogram are always congruent to each other.

Therefore:

m<m = 114°

m<n = 66°

✔️Opposite sides of a parallelogram are also congruent. This implies that:

7x - 3 = 4x + 6

Collect like terms

7x - 4x = 3 + 6

3x = 9

Divide both sides by 3

3x/3 = 9/3

x = 3

User Brendan Hannemann
by
3.6k points