Lines and Angles

15. In the following figure, the value of x is

• (A) 110°      
• (B) 46°
• (C) 64°        
• (D) 150°

14. In the following figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is

• (A) 130°      
• (B) 50°
• (C) 80°        
• (D) 30°

13. In the given figure, lines l and m intersect each other at a point. Which of the following is false?

• (A) ∠a = ∠b 
• (B) ∠d = ∠c
• (C) ∠a + ∠d = 180°   
• (D) ∠a = ∠d

12. In the given figure, POR is a line. The value of a is

• (A) 40°        
• (B) 45°
• (C) 55°        
• (D) 60°

11. In the following figure, POQ is a line. If x = 30°, then ∠QOR is

• (A) 90°        
• (B) 30°
• (C) 150°      
• (D) 60°

10. In the following figure, the value of y is

• (A) 30°        
• (B) 15°
• (C) 20°        
• (D) 22.5°    

9. In the following figure, PA || BC || DT and AB || DC. Then, the values of a and b are respectively

• (A) 60°, 120°        
• (B) 50°, 130°        
• (C) 70°, 110°        
• (D) 80°, 100°

8. In the given figure, PQ || SR and SP || RQ. Then, angles a and b are respectively

• (A) 20°, 50° 
• (B) 50°, 20°
• (C) 30°,50° 
• (D) 45°, 35°

7. If two supplementary angles are in the ratio 1 : 2, then the bigger angle is

• (A) 120°      
• (B) 125°
• (C) 110°      
• (D) 90°

6. Measures (in degrees) of two supplementary angles are consecutive odd integers. The angles are

• (A) 90°, 90°
• (B) 89°, 91°
• (C) 87°, 93°
• (D) 88°, 92°

5. Let ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1 : 5. Then, ∠QOS measures

• (A) 150°      
• (B) 75°
• (C) 45°        
• (D) 60°

4. Statements a and b are as given below:

a : If two lines intersect, then the vertically opposite angles are equal.

b : If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°.

Then

• (A) Both a and b are true        
• (B) a is true and b is false
• (C) a is false and b is true       
• (D) Both a and b are false

3. Statements p and q are given below:

p : Two angles a and b are forming a linear pair.

q : Two angles a and b are forming a pair of adjacent angles.

Then,

• (A) Both p and q are true
• (B) p is true and q is false
• (C) p is false and q is true
• (D) Both p and q are false

2. In the following figure, the value of a is

• (A) 20°        
• (B) 15°
• (C) 5°
• (D) 10°

1. In the given figure, if QP || SR, the value of a is

• (A) 40°        
• (B) 30°
• (C) 90°        
• (D) 80°