Question

. The angles of a quadrilateral are 4:7:15:10. Find the smallest and largest angle of the quadrilateral.​

Answer 1

Answer:

40°&150° respectively

Step-by-step explanation:

Let the common multiple be x

So, the angles are 4x,7x,15x,10x

Sum of all angles of a quadrilateral is 360°

36x=360°

x=10°

Smallest angle =4x=40°

Largest angle =15x=150°

Answer 2

Answer:

sum of all angles in a quadrilateral is 360

so 4x +7x + 15x + 10x = 360

36x = 360

x = 360/36

x = 10

smallest angle is 4 x= 4 (10)

40

largest angle equal to 15 x = 15 (10)

150