Both angles of a pair of supplementary angles can never be acute angles.
Question types
Lines and Angles question types
76 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
76
Questions
6
Question groups
5
Question types
01
True False[1 Marks ]
15 Q→02BLANKS [1 Marks Each]
15 Q→031 Marks Question
7 Q→042 Marks Questions
13 Q→055 Marks Questions
3 Q→063 Marks Question
23 Q→Sample Questions
Lines and Angles 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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Two angles making a linear pair are always adjacent angles.
A linear pair may have two acute angles.
Two supplementary angles are always obtuse angles.
One obtuse angle and one acute angle can make a pair of complementary angles.
The supplement of an obtuse angle is always _________ angle.
If sum of measures of two angles is $90^\circ $, then the angles are _______.
View full solution →Sum of interior angles on the same side of a transversal is ________.
Two lines in a plane which do not meet at a point anywhere are called _________ lines.
The supplement of an acute is always __________ angle.
What is the type of other angle of a linear pair if. one of its angles is right$?$
View full solution →Write down pair of adjacent angles shown in the following figures:
Write down pair of adjacent angles shown in the following figures:
What is the type of other angle of a linear pair if.
one of its angles is obtuse$?$
View full solution →one of its angles is obtuse$?$
Write down pair of adjacent angles shown in the following figures:
In Fig. are the following pairs of angles adjacent? Justify your answer.
$i.$
$ii.$
$iii.$
$iv.$
View full solution →$i.$
$ii.$
$iii.$
$iv.$
Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.
In Fig. $ l || m || n. \angle\text{QPS} = 35^\circ$ and $\angle\text{QRT} = 55^\circ$. Find $\angle\text{PQR}$. 
View full solution →Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles.
In Fig. state which pair of lines are parallel. Give reason.
The drawings below $Fig.$ show angles formed by the goalposts at different positions of a football player. The greater the angle, the better chance the player has of scoring a goal. For example, the player has a better chance of scoring a goal from Position $A$ than from Position $B.$
$i.$
$ii.$
$iii.$
In Parts $(a)$ and $(b)$ given below it may help to trace the diagrams and draw and measure angles.
$a.$ Seven football players are practicing their kicks. They are lined up in a straight line in front of the goalpost $[Fig. (ii)].$ Which player has the best $($thegreatest$)$ kicking angle?
$b.$ Now the players are lined up as shown in $Fig. (iii)$. Which player has the best kicking angle?
$c.$ Estimate atleast two situations such that the angles formed by different positions of two players are complement to each other.
View full solution →$i.$
$ii.$
$iii.$
In Parts $(a)$ and $(b)$ given below it may help to trace the diagrams and draw and measure angles.
$a.$ Seven football players are practicing their kicks. They are lined up in a straight line in front of the goalpost $[Fig. (ii)].$ Which player has the best $($thegreatest$)$ kicking angle?
$b.$ Now the players are lined up as shown in $Fig. (iii)$. Which player has the best kicking angle?
$c.$ Estimate atleast two situations such that the angles formed by different positions of two players are complement to each other.
Iron rods $a, b, c, d, e$ and $f$ are making a design in a bridge as shown in $Fig.$ in which $a \| b, c \| d, e \| f.$ Find the marked angles between.
$i. b$ and $c$
$ii. d$ and $e$
$iii. d$ and $f$
$iv. c$ and $f$
View full solution →$i. b$ and $c$
$ii. d$ and $e$
$iii. d$ and $f$
$iv. c$ and $f$
In Fig. $PQ, RS$ and $UT$ are parallel lines.
$i.$ If $c = 570$ and $\text{a}=\frac{\text{c}}{3}$, find the value of $d$.
$ii.$ If $c = 750$ and $\text{a} = \frac{2}{5}\text{c}$, find $b.$
View full solution →$i.$ If $c = 570$ and $\text{a}=\frac{\text{c}}{3}$, find the value of $d$.
$ii.$ If $c = 750$ and $\text{a} = \frac{2}{5}\text{c}$, find $b.$
Three lines $AB, CD$ and $EF$ intersect each other at $O.$ If $\angle\text{AOE} = 30^\circ$ and $\angle\text{DOB} = 40^\circ$ Fig. find $\angle\text{COF}$.
View full solution →In Fig. $l || m$ and a line t intersects these lines at $P$ and $Q,$ respectively. Find the sum $2a + b.$
View full solution →In Fig. $OB$ is perpendicular to $OA$ and $ \text{BOC} = 49^\circ $. Find $\angle\text{AOD}$. 
View full solution →If a transversal intersects two parallel lines, and the difference of two interior angles on the same side of a transversal is $20^\circ ,$ find the angles.
View full solution →In Fig. two parallel lines $l$ and $m$ are cut by two transversals $n$ and $p.$ Find the values of $x$ and $y.$
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