Advertisements
Advertisements
Question
Can all the angles of a quadrilateral be acute angles? Give reason for your answer.
Advertisements
Solution
We know that, sum of all angles of a quadrilateral = 360°
So atleast one angle should be obtuse angle.
Hence, all the four angles of a quadrilateral cannot be acute angles.
APPEARS IN
RELATED QUESTIONS
Find the angle measure x in the given Figure
Find x in the following figure:
In a quadrilateral ABCD, CO and DO are the bisectors of `∠`C and ∠D respectively. Prove that
`∠`COD = `1/2` (`∠`A+ `∠`B).
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
In a quadrilateral ABCD, bisectors of angles A and B intersect at O such that ∠AOB = 75°, then write the value of ∠C + ∠D.
In the given figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD = 146°, find ∠AOB.
If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?
In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =
Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
