Question

One angle of a quadrilateral is 80⁰, other three angles are in the ratio 2 : 3 : 5. These three angles are

Answer 1

Step-by-step explanation:

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Answer 2

Solution:-

Given:-

On angle of a quadrilateral is 80⁰

and

other three angle are in ratio 2 : 3 : 5

To find

Other three angle

We know that

The sum of the interior angles of a quadrilateral is 360⁰

Now we can write as

=> 80⁰ + 2x + 3x + 5x = 360⁰

=> 80⁰ + 10x = 360⁰

=> 10x = 360⁰ - 80⁰

=>10x = 280⁰

=> x = 28⁰

•First angle is 80⁰

•Second angle is 2x = 2× 28 = 56⁰

•Third angle is 3x = 3 × 28 = 84⁰

•Fourth angle is 5x = 5× 28 = 140⁰