NCERT · Class 9 · Mathematics · Lines and AnglesIf the supplement of an angle is three times its measure, then the angle is:
Step-by-Step Solution
Let the angle be x. Its supplement is (180 - x). According to question, 180 - x = 3x => 4x = 180 => x = 45°.
Detailed Options Breakdown
Option : 45° (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 90°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Lines and Angles.
Option 2: 135°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Lines and Angles.
Option 3: 30°
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.