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In the figure given below, p and q are parallel lines. What are the values of the angles x, y and z?
  • a)
    x = 80°, y = 40°, z = 100°
  • b)
    x = 80°, y = 50°, z = 105°
  • c)
    x = 70°, y = 40°, z = 110°
  • d)
    x = 60°, y = 20°, z = 120°
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the figure given below, p and q are parallel lines. What are the va...
x/3 = y     [∵ Alternate interior angles are equal]
x + z = 180°      [∵ Co-interior angles are supplementary]
z + 40 + x/3 = 180°       [∵ Angle in a straight line is 180°]
⇒ 180 – x + 40 + x/3 = 180
⇒ 40 – 2x/3 = 0
⇒ x = 60°
∴ x = 60°, y = x/3 = 20° and z = 180 – x = 120°
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Most Upvoted Answer
In the figure given below, p and q are parallel lines. What are the va...
x/3 = y     [∵ Alternate interior angles are equal]
x + z = 180°      [∵ Co-interior angles are supplementary]
z + 40 + x/3 = 180°       [∵ Angle in a straight line is 180°]
⇒ 180 – x + 40 + x/3 = 180
⇒ 40 – 2x/3 = 0
⇒ x = 60°
∴ x = 60°, y = x/3 = 20° and z = 180 – x = 120°
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Community Answer
In the figure given below, p and q are parallel lines. What are the va...
x/3 = y     [∵ Alternate interior angles are equal]
x + z = 180°      [∵ Co-interior angles are supplementary]
z + 40 + x/3 = 180°       [∵ Angle in a straight line is 180°]
⇒ 180 – x + 40 + x/3 = 180
⇒ 40 – 2x/3 = 0
⇒ x = 60°
∴ x = 60°, y = x/3 = 20° and z = 180 – x = 120°
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Question Description
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