Mathematics - Lines and Angles
Exam Duration: 45 Mins Total Questions : 30
The measure of an angle is four times the measure of its supplement. Identify the angles.
- (a)
36°,144°
- (b)
40°,160°
- (c)
18°, 72°
- (d)
50°, 200°
In \(\triangle\)ABC, \(\angle \) A= \({\angle B\over 2}={\angle C \over6}\) . Find the measure of \(\angle \) A.
- (a)
60°
- (b)
30°
- (c)
40°
- (d)
20°
In the figure, the bisectors of Band C meet at O. Find the measure of \(\angle \) BOC
- (a)
90° -\({1\over2}\) \(\angle \) A
- (b)
90° +\({1\over2}\) \(\angle \) B
- (c)
90° +\({1\over2}\) \(\angle \) C
- (d)
90° +\(\angle \)A
In\(\triangle\)PQR, the angle bisectors of \(\angle\) PQR and \(\angle\) PRQ meet at O.
If \(\angle\) QPR = 80°, find the measure of \(\angle\)QOR.
- (a)
80°
- (b)
130°
- (c)
100°
- (d)
90°
In the figure, AB = AC, CH = CB and HK II BC. If the exterior angle CAX is 140°, find the measure of the angle HCK
- (a)
45°
- (b)
55°
- (c)
50°
- (d)
30°
In the figure given, what is the value of x if AB II CD?
- (a)
800
- (b)
88°
- (c)
90°
- (d)
98°
In a right angled triangle, the square of the hypotenuse is equal to twice the product of the other two sides. Which of the following is one of the acute angles of the triangle?
- (a)
60°
- (b)
45°
- (c)
30°
- (d)
75°
If D is the midpoint of the hypotenuse AC of a right triangle ABC, find the length of BD.
- (a)
\({1\over2}AC\)
- (b)
AC
- (c)
\({1\over3}AC\)
- (d)
2AC
In the given figure, AB II CD and CD II EF. Also EA \(\bot\) AB. If \(\angle\) BEF = 55°, find the value of x - z.
- (a)
0°
- (b)
50°
- (c)
80°
- (d)
90°
In \(\triangle\)ABC, if \(\angle\)A = 45° and \(\angle\) B= 70°, find the shortest and the largest sides of the triangle respectively.
- (a)
AB, BC
- (b)
BC,AC
- (c)
AB, AC
- (d)
Either (A) or (C)
In the given figure which of the following statements must be true?
(i) a + b = d + c
(ii) a + c + e = 1800
(iii) b + f = c + e
- (a)
(i) only
- (b)
(ii) only
- (c)
(iii) only
- (d)
(ii) and (iii) only
Two straight lines AB and CD intersect one another at point O. If \(\angle\) AOC + \(\angle\) COB + \(\angle\)BOD = 274°, find\(\angle\) AOD.
- (a)
86°
- (b)
90°
- (c)
94°
- (d)
137°
In the given figure, find the value of x.
- (a)
12°
- (b)
15°
- (c)
200
- (d)
300
In the given figure, if AB IIPQ, PRIIBC, and \(\angle\)QPR = 102°, determine \(\angle\) ABC
- (a)
102°
- (b)
180°
- (c)
78°
- (d)
120°
In the given figure, AB II CD and EFII DQ. Determine \(\angle\) PDQ.
- (a)
78°
- (b)
68°
- (c)
34°
- (d)
54°
In the given figure if l1II l2 what is x + y in terms of WO and zO?
- (a)
180° - W° + Z°
- (b)
180° + W° - Z°
- (c)
180° - W° - Z°
- (d)
180° + W° + Z°
In the given figure, if AC II ED, find the degree measure of x.
- (a)
55°
- (b)
70°
- (c)
45°
- (d)
60°
In the figure given, what is the value of\(\angle\) p?
- (a)
30°
- (b)
40°
- (c)
50°
- (d)
60°
In the given figure, if CE||BA, then the value of ∠ABC is
- (a)
60o
- (b)
55o
- (c)
70o
- (d)
90o
The measure of an angels is four times the measure of its supplement angle. then the angle is_____
- (a)
36°
- (b)
144°
- (c)
180°
- (d)
72°
In the given figure, lines XY and MN intersect at O. If L.POY = 90° and a : b = 2 : 3, then LXON is equal to
- (a)
126°
- (b)
130°
- (c)
90°
- (d)
180°
The value of x, in the given triangle is
- (a)
4°
- (b)
5°
- (c)
6°
- (d)
8°
The angles which differ by 38° and are complementary to each other, are
- (a)
38°,52°
- (b)
71°,109°
- (c)
26°, 154°
- (d)
64°,26°
In the given figure, AB || CD. Find the value of x.
- (a)
189°
- (b)
215°
- (c)
285°
- (d)
280°
In the given figure, AB ||CD, find ∠ODC.
- (a)
70°
- (b)
80o
- (c)
90o
- (d)
34o
In the given figure, if OCD is an isosceles triangle in which 00 and OC are equal, then what will be the value of ∠OCD?
- (a)
70°
- (b)
50°
- (c)
65°
- (d)
45°
Read the statements carefully and state 'T' for true and 'F' for false
Two lines parallel to the same line are parallel to one another.
If two lines parallel to each other are intersected by a transversal, then
corresponding angles are equal
If two parallel lines are intersected by a transversal then alternate angles are equal
- (a)
(i) (ii) (iii) T F F - (b)
(i) (ii) (iii) T F T - (c)
(i) (ii) (iii) T T F - (d)
(i) (ii) (iii) T T T
Fill in the blanks
(a) Angle forming a linear pair are P angles.
(b) The angle between the bisectors of the two acute angles of a right-angled traingle is Q
(c) Sum of interior angles of a quadrilateral is R
- (a)
P Q R supplementary 135° 360° - (b)
P Q R Complementary 135° 720° - (c)
P Q R Supplementary 90° 180° - (d)
P Q R Complementary 90° 360°
Use the given figure to match Column-I with Column-II.
Column-I | Column-II | ||
(P) | Corresponding angles | (1) | ∠1 = ∠7 |
(Q) | Alternate interior angles | (2) | ∠4 + ∠5=180° |
(R) | Alternate exterior angles | (3) | ∠1 = ∠5 |
(S) | Co-interior angles | (4) | ∠4 = ∠6 |
- (a)
P Q R S 4 1 2 3 - (b)
P Q R S 3 2 4 1 - (c)
P Q R S 4 2 1 3 - (d)
P Q R S 3 4 1 2
In the given figure, AC 丄.AB. find (i) ∠BAP (ii) ∠CAQ
- (a)
(i) (ii) 15° 45° - (b)
(i) (ii) 17o 45° - (c)
(i) (ii) 15° 33° - (d)
(i) (ii) 17o 33°