Mathematics - Lines and Angles
Exam Duration: 45 Mins Total Questions : 30
What do we call an angle whose measurement is exactly equal to 0°?
- (a)
An obtuse angle
- (b)
A straight angle
- (c)
A zero angle
- (d)
A right angle
What is an angle which measures exactly 180° called?
- (a)
A zero angle
- (b)
A right angle
- (c)
A straight angle
- (d)
An acute angle
What do we call a 169° angle?
- (a)
An obtuse angle
- (b)
An acute angle
- (c)
A right angle
- (d)
A zero angle
\(\overset { \longleftrightarrow }{ OQ } \bot \overset { \longleftrightarrow }{ PR } \) What is the measure of \(\angle QOR?\)
- (a)
1800
- (b)
450
- (c)
900
- (d)
1200
A line AB is parallel to the line CD. How is this symbolically written?
- (a)
\(\overset { \longleftrightarrow }{ AB } \neq \overset { \longleftrightarrow }{ CD } \)
- (b)
\(\quad \overset { \longleftrightarrow }{ AB } =\overset { \longleftrightarrow }{ CD } \)
- (c)
\(\overset { \longleftrightarrow }{ AB } \bot \overset { \longleftrightarrow }{ CD } \)
- (d)
\(\overset { \longleftrightarrow }{ AB } \parallel \overset { \longleftrightarrow }{ CD } \)
What is the complementary angle of 20°?
- (a)
70°
- (b)
180°
- (c)
90°
- (d)
150°
Which of the following is true?
- (a)
Two acute angles are supplementary
- (b)
Two obtuse angles are supplementary
- (c)
Two right angles are supplementary
- (d)
Two reflex angles are supplementary
Find the angle which is a complement of it self.
- (a)
30°
- (b)
45°
- (c)
90°
- (d)
180°
Observe the given figure in which l II m and n is the transversal and answer the questions that follow.
What type of angles are 'a' and 'p'?
- (a)
Corresponding angles
- (b)
Alternate angles
- (c)
Vertically opposite angles
- (d)
Interior angle on the same side of the transversal
Observe the given figure in which l II m and n is the transversal and answer the questions that follow.
What type of angles are 'c' and 'p'?
- (a)
Corresponding angles
- (b)
Alternate angles
- (c)
Vertically opposite angles
- (d)
Interior angles on the same side of the transversal
Observe the given figure in which l II m and n is the transversal and answer the questions that follow.
Which of the following is a pair of corresponding angles?
- (a)
d and c
- (b)
sand r
- (c)
c and r
- (d)
p and q
Observe the given figure in which l II m and n is the transversal and answer the questions that follow.
If the measure of 'c' is 110°, what is the measure of 's'?
- (a)
45°
- (b)
110°
- (c)
70°
- (d)
180°
The angle between the two blades of a scissors is 194°. What type of an angle is it?
- (a)
straight angle
- (b)
reflex angle
- (c)
obtuse angle
- (d)
complete angle
In the given figure, what is the measure of x?
- (a)
32°
- (b)
148°
- (c)
64°
- (d)
180°
In the figure \(\overline { AB } ,\overline { CD } and\quad \overline { EF } \) are three straight lines that interesect at O. If Y is thrice x, find the value of y.
- (a)
97.5°
- (b)
35°
- (c)
32.5°
- (d)
98°
Find the angle x in the given figure, if AB II CD.
- (a)
75°
- (b)
55°
- (c)
160°
- (d)
145°
Find the unknown angle x in the figure.
- (a)
45°
- (b)
125°
- (c)
90°
- (d)
80°
If the angles (2a - 10)0 and (a - 11)0 are complementary, what is the value of 'a'?
- (a)
37°
- (b)
27°
- (c)
17°
- (d)
7°
In the figure given, if AB II CD, what are the respective values of 'p' and 'q'?
- (a)
75° and 20°
- (b)
20° and 75°
- (c)
25° and 70°
- (d)
70° and 25°
Given ABE is a straight line.
Find angle y.
- (a)
60°
- (b)
120°
- (c)
150°
- (d)
30°
In the given diagram (not drawn to scale), PO and RS are straight lines. Which of tile following statements is true?
- (a)
\(\angle f=\angle d\)
- (b)
\(\angle c=\angle e\)
- (c)
\(\angle a+\angle b=\angle f+\angle e\)
- (d)
\(\angle b+\angle c=\angle e+\angle f\)
In the figure (not drawn to scale), AB is parallel to CD and \(\angle ECD\) is a right angle. Find \(\angle y.\)
- (a)
111°
- (b)
112°
- (c)
113°
- (d)
114°
In the figure (not drawn to scale), ABC and CDE are straight lines,\(\angle ACE\) is a right angle and DFIICGIIBH. Find \(\angle Y.\)
- (a)
65°
- (b)
73°
- (c)
62°
- (d)
60°
In the figure (not drawn to scale), EFC and DFB are straight lines. Find \(\angle x=\angle y\) respectively.
- (a)
40°,62°
- (b)
45°,61°
- (c)
47°,54°
- (d)
30°,60°
In the figure, ABIICDIIEF. Which of the following statements is true?
- (a)
a+b=1800
- (b)
b+c=180°
- (c)
c+d=180°
- (d)
a + b + c = 360°
In the given figure, AB II GHII DE, GF II BD II HI and \(\angle FCG=80^0.Find\ the\ value\ of \angle CHI.\)
- (a)
800
- (b)
120°
- (c)
1000
- (d)
1600
In the given figure, find the value of \(\angle BOC.\)
- (a)
101°
- (b)
149°
- (c)
71°
- (d)
140°
In the given figure, PQ, RS and UT are parallel lines. If c = 75° and a = (2/5)c, find b + d/2.
- (a)
92°
- (b)
115°
- (c)
112.5°
- (d)
135.5°
If p II q, then find the value of \(\angle 1,\angle 2\ and \angle 1+\angle 2\) respectively.
- (a)
41°,90°,131°
- (b)
42°,89°,131°
- (c)
90°,41°,131°
- (d)
49°, 41°, 90°
Mohit got an assignment where he had to explain the types of angles formed by a pair of parallel lines.
He completed the assignment but when his teacher checked he saw mistakes. Identify the correct option pointing out the mistake in the parts (i to iv).
Types of Angle | Observation |
(i) Corresponding | \(\angle 1=\angle 5,\angle 3=\angle 7,\angle 2=\angle 6,\angle 4=\angle 8\) |
(ii) Alternate interior | \(\angle 3=\angle 6,\angle 4=\angle 5\) |
(iii) Vertically opposite | \(\angle 1=\angle 4,\angle 5=\angle 6\) |
(iv) Alternate exterior | \(\angle 1=\angle 8,\angle 2=\angle 5\) |
- (a)
Only (i)
- (b)
Only (ii)
- (c)
Both (i) and (iii)
- (d)
Both (iii) and (iv)