Question

Is it possible to have a quadrilateral whose angle are 65 degree 28 degree and 1 148 degree and 72 degree give reason?

Answer 1

We know that,

In a quadrilateral, it has four angles and their Angle Sum Property [ASP] is 360°, meaning, the sum of all the angles of the quadrilateral add upto 360°.

Given :- The angles are 65°, 28°, 1148° and 72°.

Let us add these angles and check if their ASP is 360°.

65° + 28° +  1148° + 72° = 1313°

1313° ≠ 360°

∴It is clear that a quadrilateral cannot be made by these angles.