Question

the sum od two angles of quadrilateral is 150 and other angle are in ratio of 2:3​

Answer 1

Answer:

Sum of the angles of a quadrilateral = 360°

First we will add the ratio

2 + 3 = 5

Then we will add the two angles and subtract them from 360

150 + 150 = 300

360 - 300 = 60

Then we will divide 60 by 5

60 ÷ 5 = 12

Then we will multiply twelve by 2 and 3

12 × 2 = 24

12 × 3 = 36

The other angles, in the ratio 2:3 are 24° and 36° respectively.

Hope it will help you :-)

Answer 2

Answer:

The sum of first angle second angle =150

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⇒ The ratio of third and fourth angle is 2:3

⇒ Let third angle fourth angle be 2x and 3x.

We know that in quadrilateral sum of four angles is 360

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.

∴ 150

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+2x+3x=360

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⇒ 5x=210

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⇒ x=42

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⇒ Now, 2x=2×42

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=84

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⇒ 3x=3×42

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=126

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⇒ The measure of two angles are 84

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and 126

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Step-by-step explanation: