Question

the angles of quadrilateral are in the ratio of 4:5:10:11. the angles are?
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Answer 1

Answer:

let the angle is x

and then the first angle =4x

second angle is5x

third angle is 10x

fourth angle is 11x

sum of the angle of quadrilateral=360

4x+5x+10x+11x=360

30x=360

x=360/30

x=12

now we put the value of x

Step-by-step explanation:

the first angle is = 4x=4x12=48

second angle =5x=5x 12=60

third angle is =10x = 10x 12=120

fourth angle is = 11x= 11x 12=132

hope so u understand this

may u get help by this

Answer 2

Let the ratio of the angles are x

first,angle is 4x

second, angle is 5x

third, angle is 10x

fourth, angle is 11x

We,know that sum of the angle of a quadrilateral is 360°

so, 4x + 5x + 10x + 11x = 360°

30x = 360°

x = 360°/30

= 12°

so, first angle is = 4×12 = 48°

and second angle is = 5×12 = 60°

third angle is = 10×12= 120°

fourth angle is =11×12=132°

proof,

48°+60°+120°+132°= 360° {proved}