MP Board · Class 9 · Mathematics · TrianglesIn $\triangle ABC$, if $AB = AC$ and $\angle B = 50^\circ$, then $\angle C$ is:
Step-by-Step Solution
Since $AB = AC$, the angles opposite to these sides are equal, which means $\angle C = \angle B$. Given $\angle B = 50^\circ$, therefore $\angle C = 50^\circ$.
Detailed Options Breakdown
Option : 40°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 1: 50° (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 80°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 3: 100°
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.