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If one angle of a triangle is 60° and the other two angles are in the ratio 1:2, find the angles. - Mathematics

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प्रश्न

If one angle of a triangle is 60° and the other two angles are in the ratio 1:2, find the angles.

योग

उत्तर

Given, one angle of a triangle is 60°.

Let the other two angles be x and 2x.

We know that, the sum of all angles in a triangle is equal to 180°.

So, x + 2x + 60° = 180°

⇒ 3x = 180° – 60°

⇒ 3x = 120°

⇒ x = 40°

So, the other two angles will be x = 40° and 2x = 2 × 40° = 80°.

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अध्याय 6: Triangles - Exercise [पृष्ठ १७५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 6 Triangles
Exercise | Q 130. | पृष्ठ १७५

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