Lines and Angles Class 7 Worksheet 1 with Answers
1. Match the following with the correct value of x.
3.
Find an angle which is 15° more than 4 times
the complement of the angle.
4. Two supplementary angles are in the ratio of
11 : 4. Find the angles.
5. Find the unknown angles in each of the following.
7.
Two supplementary angles are in the ratio 11 :
7, find the angles.
8.
Choose the correct option.
a.
A ray has
i. one fixed point
ii. two fixed points
iii. more than two fixed points
iv. no fixed point
b.
Three or more points lying in one straight line are said to be
i. concurrent
ii. collinear
iii. point
iv. plane
c.
An angle which measures more than 90° but less than 180° is known as
i. obtuse angle
ii. acute angle
iii. reflex angle
iv. right angle
d.
Measure of a reflex angle A is
i. 0 < A < 90°
ii. 90° < A < 180°
iii. 180° < A < 270°
iv.
180° < A < 360°
e.
If x + 15° and 3x + 15° are complementary angles, then x is
equal to
i. 30°
ii. 60°
iii. 15°
iv. 20°
9.
State true or false.
a.
If two supplementary angles are in the ratio 7 : 8, then the angles are 84° and
96°.
b.
An angle measuring more than 0° but less than 90° is an obtuse angle.
c.
2/5 of a straight angle is equal to 72°.
d.
Angles at a point add up to 180°.
10.
Fill in the blanks.
a.
The complement of the angle 381/2° is equal to
___________.
b.
Angles 431/2° and 1361/2° are
___________.
c. A line segment
has ___________ fixed points.
d.
If AB and CD are two non-parallel lines, then they are ___________.
e.
An angle measuring 180° is a ___________ angle.
Lines and Angles Class 7 Worksheet 2 with Answers
1. Find the value of the unknown marked angles in
the following figures.
4.
If 7x + 35° and 8x − 20° are two
complementary angles, find the angles.
5.
A linear pair of angles are 3x + 5° and
x + 35°, find the angles.
6.
Arrange the following angles in ascending
order: 1/5 of a straight angle, 3/8 of the supplement of 40° and 1/9 of the
complement of 36°
7.
Two complementary angles are 5x + 10°
and 4x – 10°, find the angles.
8.
Find the supplement of each of the following
angles.
a. 1191/2°
b. 3x + 129°
c. 117°
d. 56’42”
9. Find the unknown marked angles.
10.
Fill in the blanks.
a.
3/5 of the supplement of 105° is an ___________ angle.
b.
A line segment has ___________ end points.
c.
When two or more lines meet at a point, they are said to be ___________.
d.
From a given point infinite number of ___________ can be drawn.
e. Sum of 2/5 of the supplement and 3/5
of the complement of 65° is equal to ___________.
11.
Choose the correct option.
a.
The alternate angles made by a transversal with a pair of parallel lines are
i. equal
ii. greater
iii. smaller
iv. none of these
b.
If the co-interior angles between two lines and a transversal are
supplementary, then the lines are
i. collinear
ii. parallel
iii. intersecting
iv. perpendicular
c.
If two lines intersect one another, then the vertically opposite angles are
i. 90°
ii. 180°
iii. unequal
iv. equal
d.
If 2x, 3x + 5°, 10x and 5x + 15° are the angles at
a point, then x is equal to
i. 28°
ii. 20°
iii. 17°
iv. 340°
12.
State whether the following statements are
true or false.
a.
A curved line moves in one direction.
b. Vertically
opposite angles of two intersecting lines are always complementary.
c.
A line has length but no breadth.
d.
Out of the two adjacent angles in a straight line if one is 85°, then the other
is 100°.
e.
Two parallel lines are concurrent.
ANSWERS
Worksheet 1
1. a.
iii b. iv
c. v d. i
e. ii
2. a. x = 110°;
y = 115°; z = 115°
b. x = 70°; y = 15°; z = 275°
c. x = 75°; y = 75°; z = 53°
a
= 105°; b = 75°; c = 128°
3. 75°
4. 132°, 48°
5. a. a = 110°;
b = 70°; c = 70°;
d
= 70°; e = 70°; f = 110°
b. x = 60°; a = 120°; b = 60°; c = 60°
d = 120°; e = 120°; f = 60°
c. b = 50°; c = 110°; d = 70°; e = 50°
6. a. x = 20°;
y = 115°; z = 65°
b. x = 67.5°; y = 112.5°; z = 67.5°
7. 110°; 70°
8. a. i b. ii
c. i d. iv
e. iii
9. a. True b. False
c. True d. False
10. a. 511/2° b. supplementary
c. two d. intersecting lines
e. straight
Worksheet 2
1. a. x = 50°;
y = 30°
b. a = 34°; b = 146°; c = 34°
2. a. x = 120°;
y = 30°; z = 60°; a = 30°
b. x = 75°; y = 62°; z = 118°
c. x = 112°; y = 68°; z = 68°
3. a. x = 18°;
y = 40°; z = 140°
b. x = 92°; y = 104°; z = 110°
4. 70°; 20°
5. 110°; 70°
6. 6°; 36°;
52.5°
7. 60°; 30°
8. a. 601/2° b. 51° - 3x
c. 63°
d. 123’18”
9. a. 40°; 80°;
60°
b. 148°; 148°
c. 119°; 68°; 173°
10. a. 45° (acute) b. two
c. concurrent lines
d. lines e. 61°
11. a. i b. ii
c. iv d. iii
12. a.
False b. False
c. True d. False
e. False
MCQs Questions for Class 7 Maths
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2. HCF and LCM questions for class 7
3. Fraction questions for class 7
4. Decimals class 7 worksheets
5. Exponents and powers class 7 worksheet
6. Rational numbers class 7 worksheet
7. Algebraic expressions worksheet for class 7
8. Linear equations class 7 worksheet
9. Ratio and proportion class 7 worksheet
10. Percentage worksheet for class 7
11. Profit and loss class 7 worksheet
12. Simple interest worksheet for class 7
14. Triangle and its properties class 7 worksheets
15. Congruence of triangles class 7 worksheets
16. Symmetry worksheet for class 7
17. Constructions worksheet for class 7
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