Math, asked by RoyalAries, 15 days ago

The angles of a quadnlateral are in the following ratio. Find the measure of the four angles: 2:2:3:5​

Answers

Answered by ITZURADITYAKING
2

Step-by-step explanation:

The least fraction that must be added is 1/18 as the LCM of the fractions is 18 and when converted into improper fractions you will get 4/3,3/2,10/9 and when you turn the denominators to 18 you will get 24/18,27,18,20/18 and when you add these three fractions you will get 71/18 and to make the numerator divisible by 18The least fraction that must be added is 1/18 as the LCM of the fractions is 18 and when converted into improper fractions you will get 4/3,3/2,10/9 and when you turn the denominators to 18 you will get 24/18,27,18,20/18 and when you add these three fractions you will get 71/18 and to make the numerator divisible by 18The least fraction that must be added is 1/18 as the LCM of the fractions is 18 and when converted into improper fractions you will get 4/3,3/2,10/9 and when you turn the denominators to 18 you will get 24/18,27,18,20/18 and when you add these three fractions you will get 71/18 and to make the numerator divisible by 18The least fraction that must be added is 1/18 as the LCM of the fractions is 18 and when converted into improper fractions you will get 4/3,3/2,10/9 and when you turn the denominators to 18 you will get 24/18,27,18,20/18 and when you add these three fractions you will get 71/18 and to make the numerator divisible by 18The least fraction that must be added is 1/18 as the LCM of the fractions is 18 and when converted into improper fractions you will get 4/3,3/2,10/9 and when you turn the denominators to 18 you will get 24/18,27,18,20/18 and when you add these three fractions you will get 71/18 and to make the numerator divisible by 18

Answered by nilansh2021
1

Answer:

We will use the fact that the sum of angles of a quadrilateral is 360∘. Now, we have the ratio of angles as 2 : 3 : 5 : 8. Let the first angle be 2x, so then according to the ratio, the angles will be 2x,3x,5x,8x. Hence, x=20∘.

Step-by-step explanation:

The ratio of angles of quadrilateral are 2:3:5:8

⇒ Let the four angles be 2x,3x,5x and 8x

We know, sum of four angles of quadrilateral is 360

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∴ 2x+3x+5x+8x=360

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⇒ 18x=360

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⇒ x=20

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The angles are,

⇒ 2x=2×20

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=40

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⇒ 3x=3×20

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=60

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⇒ 5x=5×20

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=100

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⇒ 8x=8×20

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=160

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