Question

In a quadrilateral the ratio of angle are 3:4:5:6.then the quadirlateral is a

Answer 1

hello this is your answer

let the angles be x

3x+4x+5x+6x=360°

18x=360°

x=360/18

x=20

so,

1st angle=3*20=60

2nd angle=4*20=80

3rd angle=5*20=100

4rth angle=6*20=120

HOPE This WILL HELP YOU☺️

Answer 2

Step-by-step explanation:

Given that angles of a quadrilateral are in the ration 3:4:5:6.

We know that sum of all angles of a quadrilateral =360⁰

So, angles of quadrilateral are:

A= 18/3×360=60

,∠B= 18/4×360=80

∠C= 18/5×360=100,

∠D= 18/6×360=120

Now from figure, we have

∠A+∠D=60+120=180

i.e. sum of interior angles on the same side of the transversal AD=180⁰.

Therefore, AB∥DC

Hence, the given quadrilateral is a trapezium.