Question

the angles of a quadrilateral cannot be in the ratio
1:2:3:6why? reason. hint ​

Answer 1

Answer:

Well, as we find the ratio of each of these angles.

Turns out one of the angle will be (1/1+2+3+6)360° = 360°/12 = 30°

And similarly the other remaining three angles are 60°, 90° , however the last angle is going to be 180°

But, this is absolutely contradicting since for a quadrilateral to exist , none of it's interior angles must be greater than or equal to 180°, i.e in simple terms the two adjacent sides including the angle 180° would be indistinguishable.

Answer 2

Answer: Figure is a triangle.

Step-by-step explanation:

Let the ratio of angles be, x ,2x , 3x and 6x.

Sum of all angles of a quadrilateral is 360°.

360=x+2x+3x+6x

=>360=12x

=>x =30°

So, angles are 30°, 60°,90° and 180°.

But 180° is a straight line so, the figure is a triangle.