is it possible to have a quadrilateral with three of its angles equal and the fourth angle thrice of one - Maths - Understanding Quadrilaterals

Question

is it possible to have a quadrilateral with three of its angles
equal and the fourth angle thrice of one of the angles? why or why
not? answer fast

Vijay Kumar Gupta · Accepted Answer

Dear student,

It is never possible to have a quadrilateral with three ot its angles equal andthe fourth angle thrice ot the angles
Suppose if possible, it is true
Let each of three equal angles of the quadrilateral=xThen the fourth angle will be=3·x=3xSince sum of ll the angles pf a quadrilateral is 360° Therefore, we have:        x+x+x+3x=360°⇒   6x=360°⇒   x=60°Therefore the fourth angle will be 3×60°=180° which is a straight line and cannot be the angle of quadrilateral

Regards

is it possible to have a quadrilateral with three of its angles equal and the fourth angle thrice of one of the angles? why or why not? answer fast