Can all the four angles of a quadrilateral be obtuse angles? Give a reason for your answer.

Given: All four angles of quadrilaterals are obtuse

To Find: Is this possible?

Concept Used: Sum of angles of quadrilateral = 360˚

Explanation:

Let a quadrilateral have angles A, B, C, and D.

Let them be obtuse.

Being obtuse angles mean,

A > 90˚

B > 90˚

C > 90˚

D > 90˚

Adding all four angles, we get,

A + B + C + D > 360˚

Which is not possible.

Hence, such quadrilateral is not possible.