Question

The angles of quadrilateral are in the ratio of 1:4:5:7.Name the type of quadrilateral and also find the measure of least angle

Answer 1

Step-by-step explanation:

Let the angles be 1x , 4x , 5x and 7x

Now-

1x+4x+5x+7x =360° (the sum of all angles in a quad.)

17x=360°

x= 21.17°

Since opposite angles are not equal , it is not a parallelogram

also, the angles are not of 90° , it is not a rectange

Also , it is not a rhombus

It is an trapzium

.

Least angle = 1x = 21.17°

• Hence Proved!