Question

If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 57°, then ∠B = ?​

Answer 1

Answer:

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Step-by-step explanation:

Sum of any two adjacent angles of a parallelogram is 180

o

.

Given, ∠A=∠B

∠A+∠B=180

o

⇒2∠A=180

o

⇒∠A=90

o

⇒∠A=∠B=90

o

Similarly ∠C=∠D=90

o

So, all angles are 90

∘

so it is a rectangle.

Answer 2

Answer:

∠B=123°

Step-by-step explanation:

it is a parallelogram

so, the sum of adjacent angles is 180°

∠A + ∠B= 180°

57°+∠B=180°

∠B=180-57=123°

so, ∠B=123°

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