MP Board · Class 9 · Mathematics · TrianglesWhat is the measure of each interior angle of an equilateral triangle?
Step-by-Step Solution
An equilateral triangle has all three sides equal, which means all three interior angles are also equal.\nLet each angle be $x$. $$x + x + x = 180^\circ$$ $$3x = 180^\circ$$ $$x = 60^\circ$$ \nThus, each angle of an equilateral triangle is $60^\circ$.
Detailed Options Breakdown
Option : $30^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 1: $45^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 2: $60^\circ$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $90^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
💡 Study Guide: This question tests core syllabus concepts from Triangles. For formulas, key summaries, and mock exam reference guides, read the full Triangles Revision Notes.