Math, asked by hayleyviera123, 11 months ago

use the given ratios to solve each problem:
- The ratio of the measures of three angles in a triangle is 2:9:4. find the measures of the angles.

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Answered by BrainlyIAS
3

Step-by-step explanation:

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Answered by Anonymous
1

{\orange{\underline{\underline{\bf{\bigstar\: Question : \:\bigstar}}}}}\\

The ratio of the measures of three angles in a triangle is 2:9:4. find the measures of the angles.

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Let, the multiple of ratio be x

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sum of all angle of triangle : 180°

2x + 9x + 4x = 180°

15x = 180°

x = \frac{180°}{15}

x = \frac{\cancel{180°}}{\cancel{15}}

x = \frac{12°}{1}

x = 12°

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measures of angle A = 2x

= 2 × 12°

= 24°

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measures of angle B = 9x

= 9 × 12°

= 108°

= 108°

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measures of angle C = 4x

= 4 × 12°

=  48°

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