Question

the angle of a quadrilateral are in ratio 1 ratio 1 ratio 3 ratio 7 ratio find each angle of quadrilateral
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Answer 1

Answer:

1x+1x+3x+7x=360°

12x=360°

x=360/12

x=20°

1st angle=20°

2nd angle =20°

3rd angle =3×20=60°

4th angle =7×20=140°

Answer 2

Given:

• The angles of a quadrilateral are in the ratio of 1:1:3:7.

To find:

• Measure of each angle.

Solution:

Let the measure of all angles of the quadrilateral be 1x, 1x, 3x, 7x.

As we know that,

• Sum of all angles of a quadrilateral is 360°. Therefore,

⇒ 1x + 1x + 3x + 7x = 360°

⇒ 12x = 360°

⇒ x = 360/12

⇒ x = 30°

Hence,

• First angle = 1x = 30°
• Second angle = 1x = 30°
• Third angle = 3x = 3(30) = 90°
• Fourth angle = 7x = 7(30) = 210°

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