In the accompanying diagram of parallelogram abcd, latex: m\angle a=x+17 m ∠ a = x + 17 and latex: m\angle c=2x-4 m ∠ c = 2 x − 4 . find the value of x.

x = 21

Explanation:
In a parallelogram, each two opposite angles are equal.

In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that they have equal measures.

Therefore:
∠A = ∠C
x + 17 = 2x - 4
17 + 4 = 2x - x
x = 21

We can check:
angle A = 21 + 17 = 38°
angle C = 2(21) - 4 = 38°
They are equal

Hope this helps :)

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