In the given figure, AB || CD then value of x is:
CBSE Class 9th MCQs on Maths Chapter 6 Lines and Angles
a) 45o
b) 60o
c) 90o
d) 105o
Answers
Given : AB || CD
To Find : value of x
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)
AB || CD and AC is transversal
Hence ∠FCD = 75° as corresponding angled
∠FCD is one of the exterior angle of triangle CEF
Exterior angle of triangle = sum of opposite two interior angles
=> ∠FCD = x° + 30°
=> 75° = x° + 30°
=> x° = 45°
=> x = 45
Value of x is 45
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