The interior angles of a triangle are in the ratio 1:2:3. Find the measure of the largest angle in d

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The interior angles of a triangle are in the ratio 1:2:3. Find the measure of the largest angle in degrees. (Write only the numeric value, e.g. 90 for 90°)

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{"type":"doc","content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1:","type":"text"},{"text":" Let the measures of the three angles be ","type":"text"},{"attrs":{"latex":"x"},"type":"math_inline"},{"text":", ","type":"text"},{"attrs":{"latex":"2x"},"type":"math_inline"},{"text":", and ","type":"text"},{"attrs":{"latex":"3x"},"type":"math_inline"},{"text":" degrees. The sum of the interior angles of a triangle is always ","type":"text"},{"attrs":{"latex":"180^\circ"},"type":"math_inline"},{"type":"text","text":":"}],"type":"paragraph"},{"attrs":{"latex":"x + 2x + 3x = 180^\circ \implies 6x = 180^\circ"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 2:","type":"text"},{"type":"text","text":" Solve for "},{"attrs":{"latex":"x"},"type":"math_inline"},{"text":":","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"x = \frac{180^\circ}{6} = 30^\circ"},"type":"math_block"},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 3:","type":"text"},{"text":" The largest angle is ","type":"text"},{"attrs":{"latex":"3x"},"type":"math_inline"},{"text":". Calculate its value:","type":"text"}]},{"attrs":{"latex":"3x = 3 \times 30^\circ = 90^\circ"},"type":"math_block"},{"content":[{"type":"text","text":"So the largest angle is "},{"attrs":{"latex":"90^\circ"},"type":"math_inline"},{"text":" (a right triangle).","type":"text"}],"type":"paragraph"}]}

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