Lines and Angles Test

Result

Lines and Angles Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

In given figure, a, b and c are parallel lines intersected by transversal p at X,Y and L respectively. Find ∠3

A
74^o

B
60^o

C
120^o

D
80^o

Solution

Given a, b and c are parallel lines intersected bytransversal p at X, Y and Z

Therefore linear pair,

∠4 + 60^o = 180^o

∠4 = 180^o – 60^o

∠4 = 120^o

From the figure,

∠4 and ∠1 are corresponding angles

∠4 = ∠1

Therefore, ∠1 = 120^o

∠1 and ∠2 are corresponding angles

∠2 = ∠1

Therefore, ∠2 = 120^o

∠2 and ∠3 are vertically opposite angles

∠2 = ∠3

Therefore, ∠3 = 120⁰
Question 2
1 / -0

What is the name given to the pair of angles (1, 2) in the given figure?

A
Corresponding angles

B
Alternate interior angles

C
Alternate exterior angles

D
Linear angles
Question 3
1 / -0

In which of the following figures do and not form adjacent angles?

A

B

C

D
Question 4
1 / -0

In the figure, if PQ || RS, then what is the measure of ?

A
35^o

B
40^o

C
55^o

D
60^o
Question 5
1 / -0

If AB || CD and BCD = 30°, find the measure of ABC.

A
90°

B
60°

C
45°

D
30°
Question 6
1 / -0

What is the value of 'a' in the given figure?

A
44

B
46

C
33

D
34
Question 7
1 / -0

What is the value of (x + y) in the given figure?

A
120°

B
180°

C
150°

D
170°
Question 8
1 / -0

In the given figure, || m. If 1 : 2 = 2 : 7, find the measure of the greater angle.

A
120°

B
70°

C
40°

D
140°
Question 9
1 / -0

In the given figure, AB || CD and CD || MN.

Find the value of x + y + z.

A
180°

B
255°

C
295°

D
300°
Question 10
1 / -0

How many pairs of supplementary angles can definitely be made, when a transversal cuts two parallel lines?

A
10

B
8

C
4

D
2
Question 11
1 / -0

If PQR and RQS are complementary angles, what is the measure of PQR?

A
36°

B
59°

C
31°

D
42°
Question 12
1 / -0

What is the value of 'x' in the figure given below if || m and p || q?

A
61^o

B
58^o

C
60^o

D
59^o
Question 13
1 / -0

From the given figure, which of the following are the correct pairs of vertically opposite angles?

(i) AOE, BOC
(ii) BOC, COD
(iii) DOE, AOB
(iv) COD, DOE
(v) BOD, AOE

A
Only (i), (ii)

B
Only (iii), (v)

C
Only (i), (iv)

D
Only (ii), (iv)
Question 14
1 / -0

If two angles are supplementary angles, such that one angle is 36° more than twice the other angle, find the measure of the larger angle.

A
48°

B
132°

C
94°

D
142°