Triangle and Its Properties Class 7 Worksheet 1
1. In triangle ABC, the ratio of the angles is 6
: 7 : 5. Find the angles.
2.
Find the angles of a triangle, if they are in
the ratio 1 : 2 : 3.
3. The base angles of a right-angled triangle is 10° less than the
vertical angle. Find the angles.
4.
If two angles of a triangle are complementary,
find the third angle.
5. ABC is an isosceles triangle with AB = AC. If angle BAC = 48°, find angle ACB and ABC.
6. If two angles of a triangle are 75° and 34°, find the third angle
and hence name the type of triangle.
7. Find the unknown marked angles for the
following figures:
8.
Fill in the blanks.
a.
A triangle is a ___________ sided figure whose angles adds up to ___________.
b.
In an acute-angled triangle, all angles are less than ___________.
c.
If the angles of a triangle are x, 2x and 3x, then the
triangle is a ___________ triangle.
d.
All sides of a scalene triangle are ___________.
e.
The exterior angle of a triangle is equal to the sum of the ___________ angles.
9.
Choose the correct option.
a.
If one angle of a triangle is obtuse, then the other two angles are
i. 60°
ii. obtuse
iii. 90°
iv. acute
b.
If one angle of an isosceles triangle is 75°, then the other two angles are
i. 75°, 30°
ii. 60°, 75°
iii. 75°, 20°
iv. 75°, 75°
c.
In an isosceles right-angled triangle, the other two angles are
i. 60°, 30°
ii. 45°, 45°
iii. 50°, 40°
iv. 70°, 20°
d.
If three angles of a triangle are 2x – 16°, 12x + 15°, 8x +
5°, then x is equal to
i. 8
ii. 18
iii. 16
iv. 20
Triangle and Its Properties Class 7 Worksheet 2
1. Match the following with the correct value of
‘x’.
3. In a triangle ABC, BC is produced to D. If <ACD = 135° and
<BAC = 55°, find the remaining angle.
4.
Ratio of three angles of a triangle is 5 : 7 :
3, find the angles.
5.
One of the equal angles of an isosceles
triangle is 65°. Find the other two angles.
6. Find the unknown marked angles.
7. State true or false.
a.
A triangle has only three angles.
b. A triangle may
have the given angles 30°, 60° and 90°.
c.
Acute-angled triangle has one angle acute.
d. If measure of angles of a triangle
are 45°, 30° and 35°, then it is an acute-angled triangle.
8.
Choose the correct option.
a.
An equilateral triangle has all its angles equal to
i. 60°
ii. 30°
iii. 45°
iv. 50°
b.
Sum of the angles of a triangle is
i. 360°
ii. 90°
iii. 180°
iv. 270°
c. Exterior angle of a triangle is
118°. If one of the interior opposite angles is 48°, then the other interior
opposite angle is
i. 45°
ii. 60°
iii. 70°
iv. 54°
d.
Three angles of a triangle are in the ratio 3 : 5 : 4, then the largest angle
measures
i. 75°
ii. 60°
iii. 45°
iv. 90°
ANSWERS
Worksheet 1
1. 60°; 70°; 50°
2. 30°; 60°; 90°
3. 50°; 40°
4. 90°
5. 66°; 66°
6. 71°;
Acute-angled triangle
7. a. x = 80°;
y = 40°; z = 140°
b. x = 38°; y = 96°; z = 96°; a = 46°
c. x = 52°; y = 108°; z = 52°
d. x = 60°; y = 110°; z = 70°; a = 50°
e. x = 60°; y = 60°; a = 60°; b = 60°; c = 60°
8. a. three;
180° b. 90°
c. right-angled d. unequal
e. opposite interior
9. a. iv b. i
c. ii d. i
Worksheet 2
1. a.
iii b. iv
c. ii d. i
e. v
2. 45°; 61°;
74°
3. ∠ABC = 80°; ∠ACB = 45°
4. 60°; 84°; 36°
5. 65°; 50°
6. a.
7. a.
True b. True
c. False d. False
8. a. i b. iii
c. iii d. i
MCQs Questions for Class 7 Maths
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| Maths Worksheets for Other Chapters of Class 7 |
1. Integers questions for class 7
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
13. Lines and angles class 7 worksheets
15. Congruence of triangles class 7 worksheets
16. Symmetry worksheet for class 7
17. Constructions worksheet for class 7
18. Perimeter and area class 7 worksheets
19. Data handling class 7 worksheet
Some Extra Worksheets for ICSE Maths Class 7
1. Sets Class 7 ICSE Worksheets
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