Angles Class 6 Worksheet 1 with Answers
1.
Fill in the blanks using the given diagram:
b.
∠AOD is equal
to ___________ degrees.
c.
Angle ___________ and angle ___________ form a linear pair.
d.
∠COE is equal
to ___________ degrees.
e.
∠BOD is equal
to ___________ degrees.
2.
State true or false for each of the following:
a.
Sum of two adjacent angles in a straight line adds up to 90°.
b.
Two vertically opposite angles are complementary.
c. 7/10 of a right angle and 3/10 of a right
angle are supplementary angles.
d. If 3x and
6x are two angles in a straight line, then x is equal to 20°.
e.
An acute angle lies between 90° and 180°.
f.
If there are two angles formed at a point on a straight line then one angle is
acute and the other is obtuse.
3. Copy the following figures and mark angles
equal to the given shaded angles.
4. Find the unknown marked angles a°, x°, y°, z°.
5. At 7’o clock, the hands of a clock make an obtuse angle and a reflex angle. Find the degree measure of each of these angles.
6.
Measure of an angle is 47° 25' 38", find
i. its complement.
ii. 7
times of it.
7.
The measures of three angles in a straight
line are in the ratio 2 : 3 : 5. Find the three angles.
8.
Two straight lines intersect each other at an
angle of 75°, find all the other angles at the point of intersection.
Angles Class 6 Worksheet 2 with Answers
1.
Choose the correct answer for each of the
following:
a.
When two lines intersect, the angles on the opposite sides of the point of
intersection are called
i. co-interior angles
ii. vertically opposite angles
iii. corresponding angles
iv. alternate angles
b.
An angle which measures more than 90° but less than 180° is known as
i. obtuse angle
ii. acute angle
iii. right angle
iv.
straight angle
c.
A reflex angle is an angle measuring
i. greater than 0° but less than 90°
ii. greater than 180° but less than
360°
iii. 180°
iv. greater than 90° but
less than 180°
d.
Two angles are said to be supplementary then sum is equal to
i. 360°
ii. 180°
iii. 90°
iv. 100°
2.
State true or false:
a.
If two angles in a straight line are equal then each angle measures 90°.
b.
Vertically opposite angles of two intersecting lines are unequal.
c.
If two angles of 3x° and 6x° measures are complementary then x
is equal to 20°.
d.
An acute angle is greater than 0° but less than 90°.
e.
Supplement of 112° 30' is 67°.
3. Two supplementary angles are in the ratio 5 : 3. Find the two
angles. (Give your answer in degree and minutes.)
4.
Add the complement of 65° to 55°.
5.
If x and y are two complementary
angles then find 8x + 8y.
6. Find the unknown marked angles in each of the following:
7. Find the unknown marked angles in each of the
following:
8. Express as fraction of a turn.
a. 55°
b. 150°
9.
Two angles measure 35° 15' 36" and 52°
25' 59". Find their sum.
10.
Express the angles in minutes as well as
seconds.
a. 48°
b. 210°
Angles Class 6 Worksheet 3 with Answers
1.
Fill in the blanks:
a.
An obtuse angle measure more than 90° but less than _______.
b.
When two rays meet at a point, they are said to form an _______.
c.
Two angles in a straight line add up to _______.
d.
The sum of supplement of 120° and 60° is _______.
e.
The sum of three angles out of four angles around a point is 300° then the
fourth angle is _______.
2.
By how many degrees do we turn to move from
a.
North east to South west?
b.
South west to North?
3. Express an angle of measure 75° into minutes
and seconds.
4.
Measure of an angle is 45° 28'. Find its
complement.
5.
Two straight lines intersect each other at an
angle of 55°. Find all the other angles.
6.
Match the following to the correct answer:
a.
54° 38' and 35° 22' are two i. 120
minutes
b.
An angle which lies between 0° and 90° is ii. complementary angles
c.
2 degrees expressed in minutes is equal to iii. an acute
angle
d.
The sum of the supplement and complement of 85° is iv. 20° and 70°
e. Two complementary angles are in the
ratio 2 : 7, then the angles are v. 100°
7. Measure and write down the magnitude of each
of the marked unknown angles.
8. Express the size of an angle which is equal to 15 turn in degrees.
9.
Find the supplement of the following angles.
a. 105°
b. 119°
c. 98°
d. 75°
10.
Choose the correct answer for each of the
following:
a.
If two complementary angles are in the ratio 5 : 4, then the measure of the
angles is
i. 50° and 40°
ii. 60° and
30°
iii. 100° and 80°
iv. 200° and 160°
b.
Supplement of half of a right angle is
i. 45°
ii. 135°
iii. 150°
iv. 60°
c.
Angles around a point always add up to
i. 90°
ii. 360°
iii. 180°
iv. 270°
d.
Two supplementary angles are in the ratio 3 : 7, the angles are
i. 54°, 126°
ii. 27°, 63°
iii. 70°, 110°
iv. 30°, 60°
ANSWERS
Worksheet
1
1. a. ∠AOC;
∠BOD
b. 65
c. ∠AOC; ∠BOC
d. 36 e. 115
2. a. False b. False
c. False d. True
e. False f. True
3. i. ∠1
= ∠3
ii. ∠3 = ∠6
4. a. ∠a
= 70°, ∠x = 50°, ∠y = 60°, ∠z = 50°
b. ∠x = 18°, ∠y = 30°, ∠z = 60°
c. ∠x = 283°
d. ∠x = 18°
5. 150°, 210°
6. i. 42° 34’ 22”
ii. 331° 59’ 26”
7. 36°, 54°, 90°
8. 105°, 75°, 105°
Worksheet
2
1. a. ii b. i
c. ii d. ii
2. a. True b. False
c. False d. True
e. False
3. 112° 30’ and 67° 30’
4. 80°
5. 720°
6. a. x = 332°
b. x = 30°, y = 130°
c. x = 152°
d. x = 60°
7. a. x = 100°
b. x = 145°
c. a = 65°, b = 115°, c
= 65°
x = 100°, y = 80°
d. x = 160°, y = 90°
8. a. 11/72 b. 5/12
9. 87° 41’ 35”
10. a. 2880’, 1,72,800”
b. 12,600’, 7,56,000”
Worksheet
3
1. a. 180° b. angle
c. 180° d. 120°
e. 60°
2. a. 180° b. 135°
3. 4500’, 2,70,000”
4. 44° 32’
5. 125°, 55°, 125°
6. a. ii b. iii
c. i d. v
e. iv
7. Measure yourself using protractor
8. 5400°
9. a. 75° b. 61°
c. 82° d. 105°
10. a. iii b. ii
c. ii d. i
MCQs Questions for Class 6 Maths
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