Can a parallelogram have four acute angles justify your answer.
Sum of measures of interior angles of a polygon of n sides = (n - 2)*180 deg.
parallelogram = 4 sides
so, n = 4
(4 - 2)*180
2*180 = 360 deg in a parallelogram
can you answer this now?
the answer is yes
No, you cannot have 4 acute angles
since "acute" means less than 90°
4 x (something less than 90) < 360
To determine whether a parallelogram can have four acute angles, we need to recall the properties of a parallelogram first.
A parallelogram is a quadrilateral with two pairs of parallel sides. Its opposite angles are congruent, meaning they have the same measure. Furthermore, the sum of the interior angles in any quadrilateral is always 360 degrees.
Now, let's consider a situation where a parallelogram has four acute angles. By definition, an acute angle is less than 90 degrees. Since the opposite angles in a parallelogram are congruent, this would mean that all four interior angles are acute.
However, the sum of the interior angles of any quadrilateral is always 360 degrees. If all four angles in a parallelogram were acute, their sum would be less than 360 degrees, contradicting this fact.
Therefore, a parallelogram cannot have four acute angles.