Math, asked by sushmitasoni2003, 10 months ago

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The angles of a triangle are in the ratio 1 : 2 : 3. Find the size of each angle of the triangle.

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Answers

Answered by manjunadha040179
68
i hope help you triangle angle sum property
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Answered by BrainlyPrincess
123

Answer:


1st angle → 30°


2nd angle → 60°


3rd angle → 90°


Step-by-step explanation:


Let the angles in the ratio 1 : 2 : 3 be x, 2x and 3x


Sum of interior angles of a triangle is 180°



According to the question,


x + 2x + 3x = 180


→ 6x = 180


→ x = \dfrac{180}{30}


→ x = 30



∴ 1st angle → x


30°



∴ 2nd angle → 2x


→ 2 * 30


60°



3rd angle → 3x


→ 3 * 30


90°


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