A quadrilateral has three acute angles each measures 80°. What is the measure of fourth angle?
Question types
Understanding Shapes - II (Quadrilaterals) question types
51 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
51
Questions
5
Question groups
5
Question types
01
2 Mark Question
8 Q→023 Mark Question
9 Q→035 Mark Question
8 Q→044 Mark Question
3 Q→05Solve The Following Question.1MARKS
23 Q→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.
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Define the following terms:
Convex Quadrilateral.
Convex Quadrilateral.
A quadrilateral has all its four angles of the same measure. What is the measure of each?
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°, what is the sum of the remaining two angles?
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°
135°
Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles?
Find the number of sides of a regular polygon when each of its angles has a measures of:-
162°
162°
Two angles of a quadrilateral are of measure 65° and the other two angles are equal. What is the measure of each of these two angles?
The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angles.
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.
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 ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.
The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sides of the polygon.
The sides of a quadrilateral are produced in order. What is the sum of the four exterior angles?
In a quadrilateral, define the following:
Opposite angles.
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.
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.
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°.
The measure of each angle of a convex quadrilateral is ..... 180°.
Complete the following, so as to make a true statement:
The sum of the angles of a quadrilateral is ..........
The sum of the angles of a quadrilateral is ..........
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