Math, asked by drishti1908, 14 days ago

the angles of a quadrilateral are in the ration 9:7:3:5. Find the angle​

Answers

Answered by sunnyprajapati8
0

Answer:

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Answered by AllenGPhilip
3

Answer:

The angles are 135°, 105° , 45° , 75°

Step-by-step explanation:

The angles of a triangle are in the ratio 9:7:3:5

Let the actual ratio be 9k:7k:3k:5k -------->(1)

The sum of angles of Quadrilateral is 360°

⇒ 9k:7k:3k:5k = 360°

⇒ 24k = 360

⇒ k = 360/24 = 15

substute 'k' in (1)

First angle (9 × 15)° = 135°

Second angle (7 × 15)° = 105°

Third angle (3 × 15)° = 45°

Fourth angle = (5 × 15)° = 75°

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