Line, Angle and Triangle Page-2

9) In the figure below what is the value of x
  lines-angle-triangles
(A) 6
(B) 8
(C) 10
(D) 20

View Answer

Answer: Option C

Solution:
3x + 10 = 5(x - 2)
= 3x + 10 = 5x - 10
= 3x - 5x = -10 - 10
= -2x = -20
x = 10

10) In the figure below, LM is parallel to AB. What is the value of x?
  lines-angle-triangles
(A) 37
(B) 45
(C) 53
(D) 63

View Answer

Answer: Option C

Solution:
m∠PQR = 37°
m∠PQR + x0 = 90°
37 + x = 90
x = 90 - 37 = 53

11) In the figure below, what is the average of the measures of the five angles
  lines-angle-triangles
(A) 36
(B) 45
(C) 60
(D) 72

View Answer

Answer: Option D

Solution:
a+b+c+d+e = 360
Average =
360/5
= 72

12) In the figure below, what is the value of x if y:x = 3:2?
  lines-angle-triangles
(A) 18
(B) 27
(C) 36
(D) 45

View Answer

Answer: Option C

Solution:
y:x= 3:2
y + x = 90
x =
90/5
* 2 = 36

13) In the figure below lines k and l are parallel. What is the value of b-a?
  lines-angle-triangles
(A) 15
(B) 30
(C) 45
(D) 60

View Answer

Answer: Option C

Solution:
k and l are parallel
∴ b = 45+a
b-a = 45

14) In the figure below, what is the average of a, b and c?
  lines-angle-triangles
(A) 45
(B) 60
(C) 90
(D) 180

View Answer

Answer: Option B

Solution:
a+b+c = 180
=
180/3
= 60

15) In the figure below, what is the value of x?
  lines-angle-triangles
(A) 45
(B) 75
(C) 60
(D) 120

View Answer

Answer: Option D

Solution:
Exterior angle is equal to the sum of opposite interior angles
x = 75 + 45
= 120

16) Two sides of a right angle triangle are 12 and 13. Which of the following could be the length of the third side?
I. 5
II. 11
III. √313

(A) I only
(B) II only
(C) I and II only
(D) I and III only

View Answer

Answer: Option D

Solution:
If 12 and 13 are base and perpendicular of the side the hypotenuse is
√(12)2+132
√144+69
√313
If 13 is measure of hypotenuse then the third side is
√(13)2-(12)2
= √169-144
= √25 = 5