Question

Can all the four angle of a quadrilateral ne obtuse angles ? give reason for your answer?

Answer 1

Answer:

No

Step-by-step explanation:

All 4 angles can be 90°,

or, 3 angles can be acute, but 4th has to be reflex,

or, 2 angles can be acute, but there has to be 1 obtuse at least (2 atmost),

or, 3 angles can also be obtuse, but 4th has to be acute

But if 4 angles are obtuse then sum of the 4 angles will be >360°,

and that violates the angle sum property of a quadrilateral.

I hope this helps

Answer 2

Answer:

NO

Reason:

No, all the four angles of a quadrilateral cannot be obtuse. As the sum of the angles of a quadrilateral is 360 degrees  and if all the angles are obtuse, their sum will exceed 360 degrees.