Question

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b. The angles of a quadrilateral are in the ratio 4:3:2:6. Find the measure of each angle.​

Answer 1

Answer:

96,72,48,144

Step-by-step explanation:

for these type question we have to add the ratio

4 + 3 + 2 + 6 = 15

360/15 = 24

so multiplay with the ratio

96,72,48,144

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Thank you very much

Answer 2

Answer:

96°, 72°, 48°and 144°

Step-by-step explanation:

Let the constant factor be x.

Then, measure of each of the angles are -

4x, 3x, 2x and 6x

We know that sum of all sides of a quadrilateral is 360°

Then, 4x+3x+2x+6x = 360

or, 15x = 360

or, x = 360/15

or, x = 24

Now, measure of each of the angles are -

(24×4)° = 96°

(24×3)° = 72°

(24×2)° = 48°

(24×6)° =144°