Question

the angles of the quadrilateral are in the ratio of 4 is to 3 is to 2 is to 6 find the measure of each angle​

Answer 1

Step-by-step explanation:

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Let the ratio of each angle be 4x : 3x : 2x : 6x

We know that the sum of each int. angle of a quadrilateral is 360°

A/q

4x + 3x + 2x + 6x = 360°

=> 15x = 360°

=> x = 360/15x

=> x = 24

Now,

1st angle = 4x = 4 × 24 = 96°

2nd angle = 3x = 3 × 24 = 72°

3rd angle = 2x = 2 × 24 = 48°

4th angle = 6x = 6 × 24 = 144°

Hope it helps you ...

Answer 2

Step-by-step explanation:

1st angle is 24 × 4=96

2nd angle is 3 × 24=72

3rd angle is 2 × 24=48

4th angle is 6 × 24=144