Since the lines are parallel, corresponding angles are equal. The angle of 120 degrees is exterior, so the interior angle on line n is 180−120=60 degrees. In the triangle formed, with angles 70 degrees and 60 degrees, the third angle (x) equals 180−70−60=50 degrees.
CUET UG 2022 — General Test Geometry
2022mcqmedium
In the given figure l||m||n, the value of x is
Official previous-year question
Held on 6 Oct 2022 · Verified 13 Jul 2026.
Options
- A
80 degrees
- B
70 degrees
- C
60 degrees
- D
50 degrees
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
CUET UG Geometry in other years
More CUET UG Geometry questions
Two men are on opposite side of tower. They measure the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 50 meters, find the distance between the two men.
2025medium
What is the value of x for which the points A (-1, 3), B (2, x) and C (5, -1) are collinear?
2025medium
Match List-I with List-II | List-I | List-II | |---|---| | (Shapes) | (Area/Perimeter/Diagonal/slant height) | | (A) Trapezium | (I) √(l² + b² + h²) | | (B) Sector of a circle | (II) √(R² + (R - r)²) | | (C) Cuboid | (III) 1/2 h(a + b) | | (D) Frustum of cone | (IV) (θ/360°) × 2πr | Choose the correct answer from the options given below:
2025medium
The area of a rectangle whose length is 5 more than twice its width is 75 square unit. What is the perimeter of the rectangle?
2025medium
An observer, 1.5 m tall, is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45°. Determine the height of the chimney?
2025medium
Other General Test topics for CUET UG
Keep practicing Geometry
Work through every CUET UG Geometry PYQ, year by year.