Question

50. Angle of a quadrilateral are in the ratio
3:4:5:8. The smallest angle is
(a) 54°
(c) 36°
(b) 40°
(d) 18°​

Answer 1

Answer:

a)54°

Step-by-step explanation:

Let the angles of the quadrilateral be x

∠A=3x, ∠B=4x, ∠C=5x, ∠D=8x

∠A+∠B+∠C+∠D=360°

3x+4x+5x+8x=360°

20x=360°

x=360°/20

x=18°

∠A=3x=3(18°)=54°

∠B=4x=4(18°)=72°

∠C=5x=5(18°)=90°

∠D=8x=8(18°)=144°

Therefore, the smallest angle is 54°.