Question

The ratio measures 3 angles ina triangle is 2:9:4. Find the measures of the angles

Answer 1

Answer:

24 and 108 and 48

Step-by-step explanation:

$ratio \: \: of \: \: 3 \: angle \: is \: 2 :9: 4 \\ assume \: that \: 3 \: angle \: of \: triangle \: is \: 2x \: \: \: \: 9x \: \: \: 4x \\ we \: \: know \: that \: sum \: of \: three \: angle \: in \: triangle \: is \: 180 \: \: so \: \: \: \: \\ 2x + 9x + 4x = 180 \\ 15x = 180\\ x = \frac{180}{15} \\ x = 12 \\ \: angle \: is \: \\ 2x = 2 \times 12= 24 \\ 9x = 9 \times 12 = 108\\ 4x = 4 \times 12= 48$

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