Respuesta :

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

Read more about parallelograms at:

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