Line and Angle Important Questions

Given below are the Class 9 Maths Important Questions for Geometry

Concepts questions
Calculation problems
Multiple choice questions
Long answer questions
Fill in the blanks

Question 1
Write the type of angles
Class 9 Maths Important Questions for Line and Angles(Geometry)

Solution
a. Acute angle
b. Right angle
c. Obtuse angle
d. Straight angle
e. Reflex angle
f. Vertically opposite angle
g. Alternate interior angles

Question 2
True or False statement
a. Pairs of vertically opposite angles is always equal
b. The sum of the angles of a triangle is $180^0$
c. If the sum of two adjacent angles is $45^0$, then two adjacent angles are acute angles
d. If a line is perpendicular is one of two parallel lines, then it is also perpendicular to the other
e. Two lines are intersected by the transversal, and then the corresponding angles are equal
f. Can we have a triangle where all the interior angles are more than $60^0$
g. Sum of two complimentary angles is equal to $90^0$
h. Sum of all the exterior angles of any polygon is always $360^0$
Solution

True
True
True
True
False
False
True
True

Multiple choice Questions

Question 3
Find the value of x

a. $98^0$
b. $100^0$
c. $108^0$
d. $96^0$
Solution
(c)
$x+36+36=180$ => $x=108^0$

Question 4
A pair of angles is called linear pair if the sum of two adjacent angles is?
a.$180^0$
b.$90^0$
c.$270^0$
d.$360^0$
Solution
(a)

Question 5
Find the value of x,y and z

a. $x=110^0,y=70^0,z=80^0$
b. $x=70^0,y=110^0,z=60^0$
c. $x=70^0,y=100^0,z=70^0$
d. $x=70^0,y=110^0,z=70^0$
Solution
(d)
Vertically opposite angle theorem and linear pair axiom can be used to find the answer

Question 6
An exterior angle of the triangle is $110^0$. And its two opposite interior angles are in the ratio 5:6. What are the values of those angles?
a. $50^0,60^0$
b. $25^0,30^0$
c. $35^0,42^0$
d. $40^0,48^0$
Solution (a)

Question 7
Lines l || k and m || n .Find the value of angle z

a. $45^0$
b. $60^0$
c. $70^0$
d. $50^0$
Solution (b)

Question 8

Find the value of x
a. $67^0$
b. $71^0$
c. $57^0$
d. None of these
Solution (a)

Fill in the blanks

Question 9
a.Sum of two supplementary angles is ______
b. Two lines parallel to the same line is ____ each other
c. An acute angle is always less than _____
d. Angles forming a linear pair are ______
e. If one angle of triangle is equal to the sum of other two angles, then the triangle is ______
f. if two straight lines intersect ,the adjacent angles are ______
Solutions
a. $180^0$
b. parallel
c. $90^0$
d. supplementary
e. right angle triangle
f. Supplementary