Question

If the sum of the pair of opposite angles of a parallelogram is 200°, find the angles of the parellelogram.​ PLEASE ANSWER THE QUESTION IF YOU KNOW IT

Answer 1

Hey Mate!

Answer:

100 degrees each

Explanation:

Opposite angles of a parallelogram are always equal.

Over here if the sum is 200 then:

let x be the unknown angle

x + x = 200   (as opposite angles of the parallelogram are equal)

2x = 200

x = 200/2

x = 100

Hence each angle is 100 degrees

Hope it helps!

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Answer 2

Answer:

80⁰,100⁰,80⁰,100⁰

Step-by-step explanation:

Let abcd be the parallelogram

In parallelogram opposite angles are equal.

So, let the pair of opposite angles A and C be x.

x + x = 200⁰

2x = 200⁰

x = 200/2

x = 100⁰

so, angles A and C = 100⁰

let the other two angle be x

angle A + angle B + angle C + angle D = 360⁰

100⁰ + x + 100⁰ + x = 360⁰

200⁰ + 2x = 360⁰

2x = 360⁰ - 200⁰

x = 160⁰/ 2

x = 80⁰

SO, ANGLE A = 100⁰

ANGLE B = 80⁰

ANGLE C = 100⁰

ANGLE D = 80⁰

I hope it's helpful !

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