Question

the four angles of a quadrilaterals are in the ratio 1:2:3:4 find the measurements of its smallest angle​

Answer 1

Answer:

sum of interior angles of a quadrilateral =360

ratio 1:2:3:4

let x be the constant of the ratio

x+2x+3x+4x=360

10x=360

x=36

so the angles are

1x36=36

2x36=72

3x36=108

4x36=144

(36+72+108+144=360)

Step-by-step explanation:

Answer 2

Answer:

✮requried answer:

$Ratio \: of \: angles = 1:2:3:4 \\ \\ = 1x + 2x + 3x + 4x = 360 \\ \\ 10x = 360 \\ \\ x = \frac{360}{10} = 36 \\ \\ \\ smallest \: angle \: = 1x = 1 \times 36 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 36$