CBSE · Class 9 · Mathematics · Lines and AnglesIf two interior angles on the same side of a transversal intersecting two lines are in the ratio 2:3, then the smaller angle is:
Step-by-Step Solution
Let the angles be 2x and 3x. Their sum is 180° (interior angles on the same side of transversal). So, 2x + 3x = 180° => 5x = 180° => x = 36°. The smaller angle = 2 × 36° = 72°.
Detailed Options Breakdown
Option : 72° (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 108°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Lines and Angles.
Option 2: 90°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Lines and Angles.
Option 3: 60°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Lines and Angles.
💡 Study Guide: This question tests core syllabus concepts from Lines and Angles. For formulas, key summaries, and mock exam reference guides, read the full Lines and Angles Revision Notes.