MP Board · Class 8 · Mathematics · Understanding QuadrilateralsIn a triangle, if two exterior angles are $125^\circ$ and $125^\circ$, find the measure of the third exterior angle $x$.
Step-by-Step Solution
The sum of exterior angles of any polygon is $360^\circ$. So, $125^\circ + 125^\circ + x = 360^\circ \implies 250^\circ + x = 360^\circ \implies x = 110^\circ$.
Detailed Options Breakdown
Option : $100^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 1: $110^\circ$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $120^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 3: $130^\circ$
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.