Question

If the angles of a quadrilateral are in the ratio 4:3:4:7, find the measure of the
smallest angle
​

Answer 1

Answer:

60°

Step-by-step explanation:

let the ratio in the form of X

now the sum of all interior angles of a quadrilateral is 360°

so,4x+3x+4x+7x=360°

18x=360°

X=360/18

X=20°

so all angle will be

4x= 4*20 =80°

3x= 3*20 =60°

4x=4*20 =80°

7x=7*20 =140°

so the smallest one is 60° ans.

Answer 2

★Given that,If the angles of a quadrilateral are in the ratio

4:3:4:7,

To Find:-

measure of the smallest angle.

__________________________________________

Analysis:-

sum of interior angles in a quadrilateral is 360°

so,let the angles be 4x,3x,4x,7x

solution:-

so now,

$⟼4x+3x+4x+7x=360$

$⟼18x=360$

$⟼x=\cancel \frac{360}{18}$

$\star\mathbb{\boxed{\purple{x=20}}}$

so measure of smallest angle =3x

$:⟹ 3(20)$

$:⟹ 60°$

hope this helps.!