Question

the ratio of four angles of a quadrilateral is 6:5:12:13 find the measure of greatest angle.
options:-
a) 140°
b) 50°
c) 120°
d) 130°

Answer 1

Let the angles be 6x,5x,12x,13x
we know that sum of interior angles of Quardilatoral is 360

6x+5x+12x+13x=360
36x=360
x=10

so angles are
60°
50°
120°
130°

Greatest angle is 130°

Answer 2

let first angle be 6x
let 2nd angle be 5x
letter the third angle Be 12x
letter the fourth Angle Be 13 x

6x+5x+12x+13x=360
36x=360
x=360/36
x=10
first angle b 6 x 10 equal to 60
second angle is 5 x 10 equal to 50
third angle is 12 x 10 equal to 120
fourth Angle B 13 x 10 equal to 130
so the greatest angle is 130 which is 4th angle ok dear