Question

if one angle of parallelogram is 105 degrees find the other angle​

Answer 1

Step-by-step explanation:

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Answer 2

In a parallelogram, Adjacent angles make up a straight angle.

Let the parallelogram be ABCD.

Consider, ∠A = 105°

∠A, ∠B are a pair of adjacent angles.

So, ∠A + ∠B = 180°

⇒ ∠B = 180° - ∠A

⇒ ∠B = 180° - 105°

⇒ ∠B = 75°

∠B, ∠C are a pair of adjacent angles.

So, ∠C + ∠B = 180°

⇒ ∠C= 180° - ∠B

⇒ ∠C = 180° - 75°

⇒ ∠C = 105°

∠D, ∠C are a pair of adjacent angles.

So, ∠C + ∠D = 180°

⇒ ∠D= 180° - ∠C

⇒ ∠D = 180° - 105°

⇒ ∠D= 75°

Therefore, If one angle of a parallelogram is 105°, then other angles are 75°, 105°, 75°