Find the values of each variable that make the quadrilateral a parallelogram.
u=
v=

Answer:
u = 62
v = 59
Explanation:
✔️2u° = 124° (opposite angles of a parallelogram are congruent)
Divide both sides by 2
2u/2 = 124/2
u = 62
✔️(v - 3)° + 124° = 180° (consecutive angles of a parallelogram are supplementary)
v - 3 + 124 = 180
v + 121 = 180
Subtract 121 from both sides
v + 121 - 121 = 180 - 121
v = 59
The values of u and v are 62 and 59, respectively
The opposite angles of a parallelogram are equal.
So, we have:
[tex]2u =124[/tex]
Divide both sides by 2
[tex]u =62[/tex]
Also, the adjacent angles of a parallelogram add up to 180 degrees.
So, we have:
[tex]124+ v - 3 =180[/tex]
Collect like terms
[tex]v = 180 - 124 +3[/tex]
[tex]v = 59[/tex]
Hence, the values of u and v are 62 and 59, respectively
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