In the accompanying diagram of parallelogram abode m\angle A=(2x+10) and m/angle=3x. Find the number of degrees in m/angle B (open pictures for diagram)

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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