Consider a triangle ABC with ∠B = 30° and ∠C = 60°. What is the type of ΔABC?

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{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Find the Third Angle):","type":"text"},{"text":" The sum of the interior angles of a triangle is always ","type":"text"},{"attrs":{"latex":"180^\circ"},"type":"math_inline"},{"text":":","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"\angle A + \angle B + \angle C = 180^\circ"},"type":"math_block"},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Direct Calculation):","type":"text"},{"type":"text","text":" We are given "},{"type":"math_inline","attrs":{"latex":"\angle B = 30^\circ"}},{"text":" and ","type":"text"},{"attrs":{"latex":"\angle C = 60^\circ"},"type":"math_inline"},{"type":"text","text":":"}]},{"attrs":{"latex":"\angle A + 30^\circ + 60^\circ = 180^\circ"},"type":"math_block"},{"attrs":{"latex":"\angle A + 90^\circ = 180^\circ \implies \angle A = 90^\circ"},"type":"math_block"},{"content":[{"text":"Step 3 (Classify Triangle):","type":"text","marks":[{"type":"bold"}]},{"text":" A triangle containing one angle of exactly ","type":"text"},{"attrs":{"latex":"90^\circ"},"type":"math_inline"},{"text":" is defined as a right-angled triangle.","type":"text"}],"type":"paragraph"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 4 (Conclusion):","type":"text"},{"text":" The type of ","type":"text"},{"type":"math_inline","attrs":{"latex":"\triangle ABC"}},{"text":" is a ","type":"text"},{"marks":[{"type":"bold"}],"text":"right triangle","type":"text"},{"text":".","type":"text"}],"type":"paragraph"}],"type":"doc"}

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