Question

The angles of a quadrilateral are in the ratio 3:4:5:6 then the largest angle of a quadrilateral is
a) 100° b) 120° c) 180° d) 20°​

Answer 1

The angles of a quadrilateral are in the ratio 3:4:5:6 then the angle of a quadrilateral isa) 100° b) 120°✔︎✔︎ c) 180° d) 20°

Explaination:

Given the angles of a quadrilateral are in the ratio 3:4:5:6

Let the angles of quadrilateral be 3x,4x,5x, and 6x

We know that the sum of all angles of a quadrilateral is 360°

∴3x+4x+5x+6x=360°

18x=360 °

x=360 ° /18

x=20 °

Hence the angles are:

3x = 3 × 20° = 60°

4x= 4×20° = 80°

5x = 5×20°=100°

6x = 6×20°=120°

Hence the largest angle is 120°