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SSC MTS 2026 PYQ — Question 18

SSC MTS - 11 Feb 2026 - Shift 2 • Reasoning • Q18

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In the given figure, AB is parallel to CD. What is the value (in degrees) of x?
Figure for question 18

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Correct answer: D

Explanation

AB ∥ CD, ∠BAE = 120°, ∠ECD = 120°

The sum of co-interior angles between parallel lines = 180°

x + ∠BAE + ∠ECD = 180°

x + 120 + 120 = 180

x + 240 = 180

x = 180 − 240 = −60

However, the value of an angle must always be positive; therefore, we can subtract this from 180°:

x = 180 − 60 = 120°