ASSIGNMENT
Class: 9th (Pre-Nurture)
Mathematics
ACADEMIC YEAR 2023-24
Chapter: Lines & Angles
OBJECTIVE QUESTIONS:
1.
In figure, if AB||DE, BAC = 35° and CDE = 53°, then DCE =?
(1) 102°
2.
(3) 125°
(4) 155°
(2) 130°
(3) 120°
(4) 125°
(2) 30°
(3) 75°
(4) 150°
In the given figure, AB || CD. If BAO = 60° and OCD = 110°, then AOC =?
(1) 70°
6.
(2) 135°
An angle is one-fifth of its supplement. The measure of the angle is:
(1) 15°
5.
(4) 72°
In the figure, find the value of x°.
(1) 100°
4.
(3) 80°
Find ADC from the given figure.
(1) 145°
3.
(2) 92°
(2) 60°
(3) 50°
(4) 40°
In the given figure, AB || CD. If CAB = 80° and EFC = 25°, then CEF =?
(1) 65°
(2) 55°
(3) 45°
(4) 75°
Page 1 of 5
ASSIGNMENT
Class: 9th (Pre-Nurture)
Mathematics
7.
In the given figure, x =?
(1)  +  – 
8.
ACADEMIC YEAR 2023-24
(2)  –  + 
(3)  +  + 
(4)  +  – 
Assertion: The sum of two adjacent angles is 100° and one of them is 35°, then other is 65°.
Reason: Adjacent angles are always supplementary.
(1) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
(2) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
(3) Assertion is true but the reason is false.
(3) Both assertion and reason are false.
9.
Assertion: Sum of the pair of angles 55° and 35° is complementary.
Reason: Two angles, the sum of whose measures is 90°, are called complementary angles.
(1) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
(2) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
(3) Assertion is true but the reason is false.
(4) Both assertion and reason are false.
10.
Assertion: If two interior angles on the same side of a transversal intersecting two parallel lines are in
the ratio 5:4, then the greater of the two angles is 100°.
Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same
side of the transversal is 180°.
(1) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
(2) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
(3) Assertion is true but the reason is false.
(4) Both assertion and reason are false.
SUBJECTIVE QUESTIONS
11.
In the given figure,  || m and PQ || RS. If 1 = 100°, find the measures of the remaining angles.

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ASSIGNMENT
Class: 9th (Pre-Nurture)
Mathematics
12.
13.
ACADEMIC YEAR 2023-24
In the figure, bisectors AP and BQ of the alternate interior angles are parallel, Show that I || m.
In the given figure, ABC is a triangle in which BC is produced to D. If A : B : C : : 3 : 2 : 1 and AC
 CE, then find ECD.
14.
In the figure below, QPS = 2SPR, Q = R + 40° and PSR = 120°. Find QPR.
15.
CASE STUDY QUESTIONS
BSE stands for a disease called Bovine Spongiform Encephalopathy. “Bovine” means that the disease
affects cows. “Spongiform” refers to the way the brain from a sick cow looks spongy under a
microscope, and “encephalopathy” indicates that it is a disease of the brain. This disease is
commonly called “mad cow disease.”
A farmer has a field ABCD formed by two pair of parallel roads as shown below in which l ||m and p || q.
His four cows suffering from BSE. Thus, he tied them at four corners of the field ABCD.
Page 3 of 5
ASSIGNMENT
Class: 9th (Pre-Nurture)
Mathematics
(i)
ACADEMIC YEAR 2023-24
∠ABC + ∠BCD = 180° as:
(1) Corresponding angles are supplementary.
(2) Alternate interior angles are supplementary.
(3) Alternate exterior angles are supplementary.
(4) Angles on the same side of a transversal are supplementary.
(ii)
If cow at C and cow at D is 2 km apart, then what is the distance between cow at A and cow at B?
(1) 1 km
(iii)
(3) 3 km
(4) 4 km
(3) 45°
(4) 55°
If ∠B = 45°, then ∠D = _________.
(1) 50°
(iv)
(2) 2 km
(2) 40°
If we join BD such that BD meet AC at O and ∠BOC = 30°, then what is the measure of ∠AOD?
(1) 90°
(2) 60°
(3) 45°
(4) 30°
Page 4 of 5
ASSIGNMENT
Class: 9th (Pre-Nurture)
Mathematics
Q.1
Q.2
Q.3
Q.4
2
2
3
2
ANSWER KEY
Q.5
Q.6
3
2
11.
2 = 80°, 3 = 100°, 4 = 100°, 5 = 80°, 6 = 80°
13.
60°
14.
60°
15.
(i) (4); (ii) (2); (iii) (3); (iv) (4)
ACADEMIC YEAR 2023-24
Q.7
Q.8
Q.9
Q.10
3
3
1
1
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