Question

8. The angles of a quadrilateral are in the ratio of 2:3:5:8. Find the angles of the quadrilateral​

Answer 1

Answer:

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GIVEN:

• The angles of a quadrilateral are in the ratio of 2:3:5:8.

To FIND:

• the angles of the quadrilateral

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sum of all angles 360 let angle be x

• then angles are 2x 3x 5x 8x

sum of angles is 360 so

$\huge\implies$2x+3x+5x+8x = 360

$\huge\implies$18x=360

sO $\huge\implies$x=20

hence

• 1 angles 2x is 40

• 2 angle 60

• 3 angle 100

• 4 angle 160

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Answer 2

Given:-

• The angles of a quadrilateral are in the ratio of 2:3:5:8.

To Find:-

• The Angles of Quadrilateral.

Concept used:-

• Sum of the angles of Quadrilateral is 360°

Now,

Let the angles of Quadrilateral be "x"

→ 2x + 3x + 5x + 8x = 360°

→ 18x = 360

→ x = 360/18

→ x = 20

Therefore, The Value of x is 20

Hence,

→ 2x = 2 × 20 → 40°

→ 3x = 3 × 20 → 60°

→ 5x = 5 × 20 → 100°

→ 8x = 8 × 20 → 160°

Hence, The angles of Quadrilateral are 40°, 60°, 100° and 160°.