CBSE · Class 9 · Mathematics · QuadrilateralsIf the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then the measure of the largest angle is:
Step-by-Step Solution
Let the angles be 3x, 5x, 9x, and 13x. The sum of angles in a quadrilateral is 360 degrees. Therefore, 3x + 5x + 9x + 13x = 360, which gives 30x = 360, so x = 12. The largest angle is 13x = 13 * 12 = 156 degrees.
Detailed Options Breakdown
Option : 108 degrees
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadrilaterals.
Option 1: 117 degrees
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadrilaterals.
Option 2: 156 degrees (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 180 degrees
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadrilaterals.
💡 Study Guide: This question tests core syllabus concepts from Quadrilaterals. For formulas, key summaries, and mock exam reference guides, read the full Quadrilaterals Revision Notes.