Question

the angles of a quadrilateral are in the ratio 3:4:5:6.find all the angles
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Answer 1

Answer:

Ratio of angles of quadrilateral is 3:4:5:6. Hence, the angles of a quadrilateral are 60°, 80°, 100° and 120°.

Step-by-step explanation:

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Answer 2

Answer:

The angles of the quadrilateral are 60°,80°,100°,120° respectively.

Step-by-step explanation:

Here we have been given to find the angles of a quadrilateral whose angles are in the ratio 3:4:5:6.

First of all, we know that the sum of all the angles of a quadrilateral is 360°

Let the common expression of the sides be a

so

⇒3a+4a+5a+6a=360°

⇒18a=360°

⇒a=20°

therefore the angles of the quadrilaterals are

⇒3a=3×20=60°

⇒4a=4×20=80°

⇒5a=5×20=100°

⇒6a=6×20=120°

   Hence the angles of the quadrilateral are 60°,80°,100°,120° respectively.