ABCD is a parallelogram angle A= 72 find angle B angle C angle D
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...We know that in a parallelogram opposite angles are equal So we get ∠ A = ∠ C = 72o We that that in a parallelogram the sum of all the angles is 360o It can be written as ∠ A + ∠ B + ∠ C + ∠ D = 360o By substituting the values in the above equation 72o + ∠ B + 72o + ∠ D = 360o We know that ∠ A = ∠ C and ∠ B = ∠ D So we can write it as
2 ∠ B + 144o = 360o On further calculation 2
∠ B = 360o – 144o By subtraction 2
∠ B = 216o By division ∠ B = 108
Therefore, ∠ B = 108o, ∠ C = 72o and ∠ D = 108
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i hope it's answer is........
108
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