Question

1. In the adjoining figure, ABCD ia parallelogram in which angle A = 72°. Calculate angle B, angle C, and angle D​

Answer 1

Step-by-step explanation:

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 = 108o Therefore, ∠ B = 108o, ∠ C = 72o and ∠ D = 108o.Read more on Sarthaks.com - https://www.sarthaks.com/725714/in-the-adjoining-figure-abcd-is-a-parallelogram-in-which-a-72-calculate-b-c-and-d