Question:medium
In the figure given below \(L_1 || L_2\) then x = __________.
In the figure given below \(L_1 || L_2\) then x = __________.
Updated On: Jul 16, 2026
- 30
- 45
- 60
- Cannot be determined
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: Since \( L_1 \parallel L_2 \), the marked angles \( 2x \) (at \( L_1 \)) and \( x \) (at \( L_2 \)) are co-interior angles on the same side of the transversal.
Step 2: Co-interior angles between parallel lines are supplementary. \[ 2x + x = 180^\circ \]
Step 3: Solve for \( x \). \[ \boxed{x = 60^\circ} \]
Step 2: Co-interior angles between parallel lines are supplementary. \[ 2x + x = 180^\circ \]
Step 3: Solve for \( x \). \[ \boxed{x = 60^\circ} \]
Was this answer helpful?
0
Top Questions on Trigonometry
- If \( \sin^{-1} x + \cos^{-1} y = \frac{3\pi}{10} \), then the value of \( \cos^{-1} x + \sin^{-1} y \) is:
- MHT CET - 2024
- Mathematics
- Trigonometry
- \( \sin^{-1}[\sin(-600^\circ)] + \cot^{-1}(-\sqrt{3}) = \)
- MHT CET - 2024
- Mathematics
- Trigonometry
- One of the principal solutions of \( \sqrt{3} \sec x = -2 \) is equal to:
- MHT CET - 2024
- Mathematics
- Trigonometry
- If \(\alpha + \beta = \frac{\pi}{2}\) and \(\beta + \gamma = \alpha\), then the value of \(\tan\alpha\) is:
- MHT CET - 2024
- Mathematics
- Trigonometry
- Want to practice more? Try solving extra ecology questions todayView All Questions
Questions Asked in SNAP exam
In the following figure, the smaller triangle represents teachers; the big triangle represents politicians; circle represents graduates and rectangle represents members of Parliament. Different regions are being represented by letters of English alphabet. On the basis of the above diagram, answer the following questions: 
- SNAP - 2024
- Venn Diagrams