In the accompanying diagram of parallelogram abcd, latex: m\angle a=2x+15 m ∠ a = 2 x + 15 and latex: m\angle b=x m ∠ b = x . find latex: m\angle a m ∠ a .

x = 55

Explanation:
In a parallelogram, the sum of each two consecutive angles is 180°.

In the given parallelogram ABCD, we can note that angles A and B are consecutive angles. This means that their summation is 180°

Therefore:
∠A + ∠B = 180
2x + 15 + x = 180
3x + 15 = 180
3x = 180 - 15
3x = 165
x = 165 / 3
x = 55

Now we can check:
angle A = 2(55) + 15 = 125°
angle B = 55°
angle A + angle B = 125 + 55 = 180°

Hope this helps :)

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