Question

The angles of a quadrilateral are in the ratio 1 : 2 : 3 :4, then the smallest angle

Answer 1

Answer:

Answer:1x+2x+3x+4x =360

Answer:1x+2x+3x+4x =36010x=. 360

Answer:1x+2x+3x+4x =36010x=. 360X=360/10

Answer:1x+2x+3x+4x =36010x=. 360X=360/10X =36

Answer:1x+2x+3x+4x =36010x=. 360X=360/10X =36angles are

Answer:1x+2x+3x+4x =36010x=. 360X=360/10X =36angles are 1x36 =36

Answer:1x+2x+3x+4x =36010x=. 360X=360/10X =36angles are 1x36 =362x36=72

Answer:1x+2x+3x+4x =36010x=. 360X=360/10X =36angles are 1x36 =362x36=723x36=108

Answer:1x+2x+3x+4x =36010x=. 360X=360/10X =36angles are 1x36 =362x36=723x36=1084x36=144

Answer:1x+2x+3x+4x =36010x=. 360X=360/10X =36angles are 1x36 =362x36=723x36=1084x36=144smallest is 36

Answer 2

Let the angles of the quadrilateral be x, 2x, 3x and 4x (according to the given ratios)

Sum of angles of a quadrilateral = 360°

ATQ

=> x + 2x + 3x + 4x = 360°

=> 10x = 360°

=> x = 360/10

=> x = 36°

Therefore, the angles will be:

x = 36°

2x = 2 × 36 = 72°

3x = 3 × 36 = 108°

4x = 4 × 36 = 144°

Smallest angle = 36°