A quadrilateral has three acute angles, each measuring $75^\circ $. Find the measure of the fourth angle.
View full solution →Question types
Quadrilaterals question types
14 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
14
Questions
3
Question groups
5
Question types
Sample Questions
Quadrilaterals questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The three angles of a quadrilateral are $76^\circ , 54^\circ$ and $108^\circ $. Find the measure of the fourth angle.
View full solution →Two angles of a quadrilateral measure $85^\circ $ and $75^\circ $ respectively. The other two angles are equal. Find the measure of each of these equal angles.
View full solution →The angles of a quadrilateral are in the ratio $3 : 5 : 7 : 9.$ Find the measure of each of these angles.
View full solution →Three angles of a quadrilateral are equal and the measure of the fourth angle is $120^\circ $. Find the measure of each of the equal angles.
View full solution →Prove that the sum of the angles of a quadrilateral is $360^\circ .$
View full solution →In the adjacent figure, the bisectors of $\angle\text{A}$ and $\angle\text{B}$ meet in a point $P.$ If $\angle\text{C}=100^\circ$ and $\angle\text{D}=60^\circ$ find the measure of $\angle\text{APB}.$
View full solution →In the adjoining figure, $\text{ABCD}$ is a quadrilateral.
$i.$ How many pairs of adjacent sides are there? Name them.
$ii.$ How many pairs of opposite sides are there? Name them.
$iii.$ How many pairs of adjacent angles are there? Name them.
$iv.$ How many pairs of opposite angles are there? Name them.
$v.$ How many diagonals are there? Name them.
View full solution →$i.$ How many pairs of adjacent sides are there? Name them.
$ii.$ How many pairs of opposite sides are there? Name them.
$iii.$ How many pairs of adjacent angles are there? Name them.
$iv.$ How many pairs of opposite angles are there? Name them.
$v.$ How many diagonals are there? Name them.
Fill in the blanks: The sum of the angles of a quadrilateral is _______.
Fill in the blanks: A diagonal of a quadrilateral is a line segment that joins two ______ vertices of the quadrilateral.
Fill in the blanks: A quadrilateral has ______ diagonals.
Fill in the blanks: A quadrilateral has ______ vertices, no three of which are ______.
Fill in the blanks: A quadrilateral has ______ sides.
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