Math, asked by ayushkabra7758, 10 months ago

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

Answers

Answered by mansurijishan805
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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