Class 9 Exam  >  Class 9 Notes  >  Mathematics (Maths) Class 9  >  Worksheet Solutions: Lines and Angle

Lines and Angle Class 6 Worksheet Maths

Multiple Choice Questions

Q1: Find the value of x
Lines and Angle Class 6 Worksheet Maths(a) 98º
(b) 100º
(c) 108º
(d)96º
Ans:
(c)
x + 36 + 36 = 180 ⇒ x = 108º

Q2: A pair of angles is called linear pair if the sum of two adjacent angles is?
(a) 180º
(b) 90º
(c) 270º
(d) 360º

Ans: (a)

Q3: Find the value of x, y and z
Lines and Angle Class 6 Worksheet Maths

(a) x = 110º , y = 70º, z = 80º
(b) x = 70º , y = 110º, z = 60º
(c) x = 70º, y = 100º, z = 70º
(d) x = 70º, y = 110º, z = 70º
Ans:
(d)
Vertically opposite angle theorem and linear pair axiom can be used to find the answer

Q4: An exterior angle of the triangle is 110º. And its two opposite interior angles are in the ratio 5:6. What are the values of those angles?
(a) 50º, 60º
(b) 25º, 30º
(c) 35º, 42º
(d) 40º, 48º
Ans:
(a)

Q5: Lines l || k and m || n. Find the value of angle z
Lines and Angle Class 6 Worksheet Maths(a) 45º
(b) 60º
(c) 70º
(d) 50º
Ans:
(b)

Q6:
Lines and Angle Class 6 Worksheet Maths

Find the value of x
(a) 67º
(b) 71º
(c) 57º
(d) None of these
Ans: (a)

Q7: The side BC, AB and AC of the triangle ABC are produced in order forming exterior angles ∠ACD = x, ∠BAE = y and ∠CBF = z then the value of 2x + 2y + 2z is
(a) 180°
(b) 360°
(c) 540°
(d) 720°
Ans:
(d)
Let a, b,c be the angles of triangle, then a + b + c = 180
Now x = a + b, y = b + c, z = a + c
Therefore 2x + 2y + 2z = 4(a + b + c) = 720

Q8: The angles of the triangles are in the ratio 1 : 2 : 3. Then the triangle is
(a) scalene
(b) obtuse angled
(c) acute angled
(d) right angles
Ans: 
(d)
Let x, 2x, 3x be the angles of triangle, then x + 2x + 3x = 180
Therefore x = 30
So angles are 30, 60 and 90

True or False

Q1: Pairs of vertically opposite angles is always equal
Ans: 
True

Q2: The sum of the angles of a triangle is 180º
Ans: True

Q3: If the sum of two adjacent angles is 45º, then two adjacent angles are acute angles
Ans: True

Q4: If a line is perpendicular is one of two parallel lines, then it is also perpendicular to the other
Ans: True

Q5: Two lines are intersected by the transversal, and then the corresponding angles are equal
Ans: False

Q6: Can we have a triangle where all the interior angles are more than 60º
Ans: False

Q7: Sum of two complimentary angles is equal to 90º
Ans: True

Q8: Sum of all the exterior angles of any polygon is always 360º
Ans: True

Fill in the blanks 

Q1: Sum of two supplementary angles is ______.
Ans: 180º

Q2: Two lines parallel to the same line is ____ each other.
Ans: parallel

Q3: An acute angle is always less than _____.
Ans: 90º

Q4: Angles forming a linear pair are ______.
Ans: supplementary

Q5: If one angle of triangle is equal to the sum of other two angles, then the triangle is ______.
Ans: right angle triangle

Q6: If two straight lines intersect, the adjacent angles are ______.
Ans: supplementary

Table Type Question

Lines and Angle Class 6 Worksheet Maths

Ans: Complementary = 90 − x
Supplementary = 180 − x

Short Answer Type Questions

Q: Write the type of angles
(i) Lines and Angle Class 6 Worksheet Maths
(ii) Lines and Angle Class 6 Worksheet Maths
(iii) Lines and Angle Class 6 Worksheet Maths
(iv) Lines and Angle Class 6 Worksheet Maths
(v) Lines and Angle Class 6 Worksheet Maths
(vi) Lines and Angle Class 6 Worksheet Maths
(vii) Lines and Angle Class 6 Worksheet Maths
Ans:

(i) Acute angle
(ii) Right angle
(iii) Obtuse angle
(iv) Straight angle
(v) Reflex angle
(vi) Vertically opposite angle
(vii) Alternate interior angles

The document Lines and Angle Class 6 Worksheet Maths is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
48 videos|378 docs|65 tests

FAQs on Lines and Angle Class 6 Worksheet Maths

1. What are lines and angles?
Ans. Lines are straight paths that extend infinitely in both directions. Angles are formed when two lines meet at a point.
2. How are lines classified based on their relationship with each other?
Ans. Lines can be classified as parallel lines, intersecting lines, or perpendicular lines based on their relationship with each other.
3. What are parallel lines?
Ans. Parallel lines are lines that never meet or intersect, no matter how far they are extended.
4. What are intersecting lines?
Ans. Intersecting lines are lines that cross each other at a point.
5. What are perpendicular lines?
Ans. Perpendicular lines are lines that meet or intersect at a 90-degree angle.
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