Advertisements
Advertisements
Question
What is the maximum number of obtuse angles that a quadrilateral can have?
Options
1
2
3
4
Solution
3
Explanation:
Sum of interior angles of a quadrilateral is 360°.
An obtuse angle is an angle between 90° and 180°.
So, all the angles can’t be obtuse since then the sum will exceed 360°.
So, maximum it can have 3 obtuse angle.
APPEARS IN
RELATED QUESTIONS
In a quadrilateral, define of the following Exterior .
Complete of the following, so as to make a true statement:
The sum of the angles of a quiadrilateral is .... right angles.
Complete of the following, so as to make a true statement:
In a quadrilateral the point of intersection of the diagonals lies in .... of the quadrilateral.
In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ∠QRS = 100°, then ∠TVS =
Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
In given figure, name any two angles that appear to be obtuse angles.
Using the information given, name the right angles in part of figure:
RS ⊥ RW
Using the information given, name the right angles in part of figure:
OP ⊥ AB
Draw a rough sketch of a quadrilateral KLMN. State two pairs of adjacent sides.
Investigate :
Use strips and fasteners to make a triangle and a quadrilateral.
Try to push inward at any one vertex of the triangle. Do the same to the quadrilateral. Is the triangle distorted? Is the quadrilateral distorted? Is the triangle rigid?
Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?
