Question

one angle of a parralelogram is 80°. Find the measure of other angles​

Answer 1

Answer:

other angles are

80°,100°and100°

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Answer 2

Answer:

Answer :-

All angles are 80° , 80° , 100° and 100°.

Given :-

Measure of one angle of a parallelogram is 80°.

To Find :-

Other angles of the parallelogram.

Solution :-

Let ABCD be the parallelogram.

In which

∠A = 80°

So

∠A = ∠C = 80° [ opposite angles of a parallelogram are equal ]

Let

∠B = ∠D = x

As we know that

Sum of all angles of a parallelogram 360°

According to question :-

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 80° + x + 80° + x = 360°

⇒ 80° + 80° + x + x = 360°

⇒ 160° + 2x = 360°

⇒ 2x = 360° -160°

⇒ 2x = 200°

⇒ x = 200/2

⇒ x = 100°

Now

∠B = ∠D = x = 100°

Angles are

∠A = 80°

∠B = 100°

∠C = 80°

∠D = 100°

Verification :-

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 80° + 100° + 80° + 100° = 360°

⇒ 80° + 80° + 100° + 100° = 360°

⇒ 160° + 200° = 360°

⇒ 360° = 360°

Hence, Verified