Question

the angles of quadrilateral are in the ratio 1:2:3:4 find the smallest angle of quadrilateral

Answer 1

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Answer 2

Given - Angles of quadrilateral

Find - Smallest angle of quadrilateral

Solution - As per the known facts, the sum of interior angles of quadrilateral is 360°.

Let the angles of quadrilateral be 1x, 2x, 3x and 4x.

1x + 2x + 3x + 4x = 360

Performing addition

10x = 360

Performing division

x = $\frac{360}{10}$

x = 36

Smallest angle of quadrilateral = x

(As all other angles will be multiple of x)

Smallest angle of quadrilateral = 36°

Therefore, the smallest angle of quadrilateral is 36°.