A quadrilateral has three acute angles, each measuring 75°. Find the measure of the fourth angle.
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QUADRILATERALS question types
14 questions across 3 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
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Sample Questions
QUADRILATERALS questions
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The three angles of a quadrilateral are 76°, 54° and 108°. Find the measure of the fourth angle.
Two angles of a quadrilateral measure 85° and 75° respectively. The other two angles are equal. Find the measure of each of these equal angles.
The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. Find the measure of each of these angles.
Three angles of a quadrilateral are equal and the measure of the fourth angle is 120°. Find the measure of each of the equal angles.
Prove that the sum of the angles of a quadrilateral is 360°.
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, ABCD is a quadrilateral.
- How many pairs of adjacent sides are there? Name them.
- How many pairs of opposite sides are there? Name them.
- How many pairs of adjacent angles are there? Name them.
- How many pairs of opposite angles are there? Name them.
- How many diagonals are there? Name them.
Fill in the blanks:
The sum of the angles of a quadrilateral is _______.
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.
A diagonal of a quadrilateral is a line segment that joins two ______ vertices of the quadrilateral.
Fill in the blanks:
A quadrilateral has ______ diagonals.
A quadrilateral has ______ diagonals.
Fill in the blanks:
A quadrilateral has ______ vertices, no three of which are ______.
A quadrilateral has ______ vertices, no three of which are ______.
Fill in the blanks:
A quadrilateral has ______ sides.
A quadrilateral has ______ sides.
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