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Dear student,
(i) Sum of angles of quadrilateral is 360°
Now, sum of two right angles=(90°+90°)=180°
so sum of remaining two angles of the quadrilateral will be (360-180)°=180
But sum of two obtuse angles is greater than 180°
Hence a quadrilateral can not have two right angles and two obtuse angles together.
(ii) Acute angles are the angles which are less than 90°
So, sum of three acute angles is less than 270°
Hence the remaining angle of the quadrilateral will be more than 90° since sum of angles in a quadrilateral is 360°. So, that remaining angle is actually an obtuse angle.
Hence, a quadrilateral can have three acute angles and one obtuse angle.
Regards
(i) Sum of angles of quadrilateral is 360°
Now, sum of two right angles=(90°+90°)=180°
so sum of remaining two angles of the quadrilateral will be (360-180)°=180
But sum of two obtuse angles is greater than 180°
Hence a quadrilateral can not have two right angles and two obtuse angles together.
(ii) Acute angles are the angles which are less than 90°
So, sum of three acute angles is less than 270°
Hence the remaining angle of the quadrilateral will be more than 90° since sum of angles in a quadrilateral is 360°. So, that remaining angle is actually an obtuse angle.
Hence, a quadrilateral can have three acute angles and one obtuse angle.
Regards