Question

if the four angle of quadrilateral are in the ratio 3:5:6:10. find its smallest angle.​

Answer 1

Sum of all angles inside a quadrilateral is 360°.

$3:5:6:10=3x:5x:6x:10x$

Let four angles be 3x, 5x, 6x, and 10x degrees.

Their sum is 360°.

$(3+5+6+10)x=360$

$x=15$(°)

Its smallest angle is 45°.

Answer 2

Answer:

Smallest angle is 45

Step-by-step explanation:

Let the angles be in x's ratio

then angles are in 3x : 5x : 6x: 10x

Sum of angles in quadrilateral is 360 degree

$3x+5x+6x+10x =360\\24x= 360\\x=\frac{360}{12} \\x= 15^o$\

The smallest angle is 3x = 3 x 15 =45 degree

smallest angle is 45