MP Board · Class 8 · Mathematics · Understanding QuadrilateralsFind the value of $x$ in a quadrilateral if three of its interior angles are $50^\circ$, $130^\circ$, and $120^\circ$.
Step-by-Step Solution
Sum of interior angles of a quadrilateral = $360^\circ$. So, $50^\circ + 130^\circ + 120^\circ + x = 360^\circ \implies 300^\circ + x = 360^\circ \implies x = 60^\circ$.
Detailed Options Breakdown
Option : $50^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 1: $60^\circ$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $90^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 3: $100^\circ$
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.