Question

3. The angles of a quadrilateral are in the ratio 3:4:5:6.
The smallest of these angles is:
f) 70°
(a) 45°
(c) 36°
(d) 48°​

Answer 1

Answer:

Let the common angle be x.

Sum of all angles of a quadrilateral = 360⁰.

3x+4x+5x+6x = 360⁰

18x = 360⁰

x=360⁰/18

x = 20⁰

Angles are 3×20⁰=60⁰ , 4×20⁰=80⁰ , 5×20⁰=100⁰ , 6×20⁰=120⁰

Smallest angle is 60⁰.