Question

the four angle of a quadrilateral are in the ratio of 2:3:6:7.find the measure of angle?​

Answer 1

Step-by-step explanation:

let the angles be 2x , 3x , 6x, 7x.

• 2x +3x+6x+7x =360 (being sum of angle of quadrilateral)
• 18x=360
• x=360/18
• ×=20

Now,

1. 2x= 2×20 = 40
2. 3x=3×20 =60
3. 6x=6×20 =120
4. 7x=7×20 =140

Answer 2

Given :-

• Shape = Quadrilateral
• The four angle of a quadrilateral are in the ratio of 2:3:6:7.

To Find :-

• The Measure of all the Angles

Solution :-

⟾ Let the First angle be 2x

⟾ Let the Second angle be 3x

⟾ Let the Third angle be 6x

⟾ Let the Fourth angle be 7x

❏ As we know that, Sum of all the angles of a Quadrilateral is 360° [ Angle sum Property of Quadrilateral ] .

According to the Situation :

➞ 2x + 3x + 6x + 7x = 360

➞ 5x + 13x = 360

➞ 18x = 360

➞ x = 360 / 18

➞ x = 20°

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Verification :-

➥ 2x + 3x + 6x + 7x = 360

➥ 2 × 20 + 3 × 20 + 6 × 20 + 7 × 20 = 360

➥ 40 + 60 + 120 + 140 = 360

➥ 100 + 260 = 360

➥ 360 = 360

Hence Verified

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Therefore :

• 1st Angle = 2x = 2 × 20 = 40°
• 2nd Angle = 3x = 3 × 20 = 60°
• 3rd Angle = 6x = 6 × 20 = 120°
• 4th Angle = 7x = 7 × 20 = 140°

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