A quadrilateral has three acute angles each measures $80^\circ .$ What is the measure of fourth angle$?$
View full solution →Question types
Understanding Shapes – II (Quadrilaterals) question types
51 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
51
Questions
4
Question groups
5
Question types
Sample Questions
Understanding Shapes – II (Quadrilaterals) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Define the following terms: Convex Quadrilateral.
A quadrilateral has all its four angles of the same measure. What is the measure of each$?$
View full solution →Find the number of degrees in each exterior angle of a regular pentagon.
If the sum of the two angles of a quadrilateral is $180^\circ ,$ what is the sum of the remaining two angles$?$
View full solution →In the figure, find the measure of $\angle\text{MPN}$.
View full solution →Find the number of sides of a regular polygon when each of its angles has a measures of:- $135^\circ $
View full solution →Three angles of a quadrilateral are equal. Fourth angle is of measure $150^\circ .$ What is the measure of equal angles$?$
View full solution →Find the number of sides of a regular polygon when each of its angles has a measures of:- $162^\circ $
View full solution →Two angles of a quadrilateral are of measure $65^\circ $ and the other two angles are equal. What is the measure of each of these two angles$?$
View full solution →The four angles of a quadrilateral are as $3 : 5 : 7 : 9$. Find the angles.
View full solution →In a convex hexagon, prove that the sum of all interior angles is equal to twice the sum of its exterior angles formed by producing the sides in the same order.
Determine the number of sides of a polygon whose exterior and interior angles are in the ratio $1 : 5.$
View full solution →In the figure, the bisectors of $\angle\text{A}$ and $\angle\text{B}$ meet at a point $P$. If $\angle\text{C}=100^\circ$ and $\angle\text{D}=50^\circ$, find the measure of $\angle\text{APB}$.
View full solution →In a convex hexagon, prove that the sum of all interior angles is equal to twice the sum of its exterior angles formed by producing the sides in the same order.
In a quadrilateral, define the following: Opposite angles.
Complete the following, so as to make a true statement: A diagonal of a quadrilateral is a line segment that joins two ...... vertices of the quadrilateral.
Complete the following, so as to make a true statement: The sum of the angles of a quiadrilateral is ....... right angles.
Complete the following, so as to make a true statement: The measure of each angle of a convex quadrilateral is $..... 180^\circ .$
View full solution →Complete the following, so as to make a true statement: The sum of the angles of a quadrilateral is ..........
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