Question

Measure of one angle of a parallelogram is 80° . find the other angles?​

Answer 1

Step-by-step explanation:

↪➡ 80° + angle B = 180°.

↪➡ angle B = 180° - 80°.

↪➡ angle B = 100°.

↪➡ Opposite angles of parallelogram are equal.

Hope it helps you my dear friend☺

Answer 2

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 !