Question

the angles of a quadrilateral are in the ration 3:6:9:12. find all the angleof a quadrilateral
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Answer 1

Answer:

1) 36

2)72

3)108

4)144

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Answer 2

Answer:

36,72,108,144

Step-by-step explanation:

Let the common ratio be x.

Then the four angles of the quadrilateral are 3x, 6x, 9x, 12x.

According to the angle sum property of quadrilateral,

3x + 6x + 9x + 12x = 360    

⇒ 30x = 360        

⇒ x = 360/30

⇒ x = 12°

Therefore, measure of angle A 3x = 3 × 12 = 36°

Measure of angle B = 6x = 6 × 12 = 72°

Measure of angle C = 9x = 9 × 12 = 108°

Measure of angle D = 12x = 12 × 12 = 144°

Therefore, the four angles of the quadrilateral are 36,72,108,144