Question

Q13
13. If the ratio of angles in a Quadrilateral is 3:5:9:13, then the least angle is
A) 120
B) 600
C 1089
D) 360
ОА
OB
Ос
OD​

Answer 1

Answer:

By the angle sum property, sum of the angles in a quadrilateral =360

∘

Given : Angles in a quadrilateral are 3x,5x,9x and 13x

Sum of all angles 3x+5x+9x+13x=360

∘

⇒30x=360

∘

⇒x=

30

360

∘

=12

∘

The smallest angle is 3x=3×12

∘

=36

∘

Answer 2

Answer:

sum of the angles of a quadrilateral is 360°

here 3 is the least ratio .

so least angle is

3×360°/(3+5+9+13)

=3×360°/30

= 3×12°

=36°