CBSE · Class 8 · Mathematics · Understanding QuadrilateralsTwo adjacent angles of a parallelogram are in the ratio $2 : 3$. Find the measure of the smaller angle.
Step-by-Step Solution
Let angles be $2x$ and $3x$. Adjacent angles are supplementary: $2x + 3x = 180^\circ \implies 5x = 180^\circ \implies x = 36^\circ$. Smaller angle = $2 \times 36^\circ = 72^\circ$.
Detailed Options Breakdown
Option : $36^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 1: $72^\circ$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $108^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 3: $144^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
💡 Study Guide: This question tests core syllabus concepts from Understanding Quadrilaterals. For formulas, key summaries, and mock exam reference guides, read the full Understanding Quadrilaterals Revision Notes.