Lines and Angles

30. The difference in the measures of two complementary angles is 12°. The measure of the smallest angle is

• (A) 39°
• (B) 40°
• (C) 51°
• (D) 45°

29. Among two supplementary angles, the measure of the larger angle is 44° more than the measure of the smaller. The measure of the larger angle is

• (A) 79°
• (B) 68°
• (C) 112°
• (D) 115°

28. Among two supplementary angles, the measure of the smaller angle is 44° less than the measure of the larger. The measure of the smaller angle is

• (A) 79°
• (B) 68°
• (C) 112°
• (D) 115°

27. Out of a pair of complementary angles, one is two-third of the other. The largest angle is

• (A) 36°
• (B) 60°
• (C) 54°
• (D) 45°

26. Out of a pair of complementary angles, one is two-third of the other. The smallest angle is

• (A) 36°
• (B) 60°
• (C) 54°
• (D) 45°

25. If the complement of an angle is 79°, then the angle will be of

• (A) 1°
• (B) 11°        
• (C) 79°        
• (D) 101°

24. Angles which are both supplementary and vertically opposite are

• (A) 95°, 85° 
• (B) 90°, 90°
• (C) 100°, 80°        
• (D) 45°, 45°

23. The angle which makes a linear pair with an angle of 61° is of

• (A) 29°        
• (B) 61°        
• (C) 122°      
• (D) 119°

22. If angles P and Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is

• (A) 120°      
• (B) 60°
• (C) 30°        
• (D) 20°

21. The measure of an angle which is four times its supplement is

• (A) 36°        
• (B) 144°
• (C) 16°        
• (D) 64°

20. The difference of two complementary angles is 30°. Then, the angles are

• (A) 60°, 30° 
• (B) 70°, 40°
• (C) 20°, 50°
• (D) 105°, 75°

19. The difference of two complementary angles is 30°. Then, the angles are

• (A) 60°, 30° 
• (B) 70°, 40°
• (C) 20°, 50°
• (D) 105°, 75°

18. In the following figure, four line segments PQ, QR, RS and ST are making the letter W, where PQ||RS and QR||ST. If angle between PQ and QR is 39°, the value of x is

• (A) 38°
• (B) 39°
• (C) 37°
• (D) 41°

17. In the following figure, four line segments PQ, QR, RS and ST are making the letter W, where PQ||RS and QR||ST. If angle between PQ and QR is 39°, the value of y is

• (A) 38°
• (B) 39°
• (C) 37°
• (D) 41°

16. In the following figure, PQ is a mirror, AB is the incident ray and BC is the reflected ray. If ∠ABC = 46°, then ∠ABP is equal to

• (A) 44°        
• (B) 67°
• (C) 13°        
• (D) 62°