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The angles of a triangle are in the ratio 1 : 2 : 3, find the measure of each angle of the triangle - Mathematics

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प्रश्न

The angles of a triangle are in the ratio 1 : 2 : 3, find the measure of each angle of the triangle

योग

उत्तर

The ratio of the angles of a triangle = 1 : 2 : 3.

Let the angles of a triangle be x, 2x and 3x.

x + 2x + 3x = 180° ...(Total angle of a triangle is 180°)

6x = 180°

x = `(180^circ)/6`

= 30°

x = 30°

2x = 2 × 30° = 60°

3x = 3 × 30° = 90°

Measures of the angles of a triangle = 30°, 60° and 90°.

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Concept for Angle Sum Property
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अध्याय 4: Geometry - Exercise 4.1 [पृष्ठ १४३]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 4 Geometry
Exercise 4.1 | Q 2 | पृष्ठ १४३
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