Question

the four angal of a quadrilateral are in the ratio 1:2:3:4.the measure of its smallest angle is​

Answer 1

Answer:

36 degree

Explanation:

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Answer 2

Answer:

The measure of the smallest angle of the quadrilateral is 36°.

Step-by-step-explanation:

The four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4.

Let the common multiple be x.

∴ The angles are x, 2x, 3x & 4x.

We know that,

The sum of measures of angles of a quadrilateral is 360°.

∴ x + 2x + 3x + 4x = 360

⇒ 3x + 7x = 360

⇒ 10x = 360

⇒ x = 360 ÷ 10

⇒ x = 36°

∴ The measure of the smallest angle of the quadrilateral is 36°.