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raketka [301]
2 years ago
14

The ratio of the measures of the three angles of a triangle is 6:9: 10. Find the angle measures.

Mathematics
1 answer:
devlian [24]2 years ago
3 0

Answer:

Angles are 43.2^0,64.8^0,72^0

Step-by-step explanation:

Sum of interior angles of triangle is 180^0

The ratio of the measures of the three angles of a triangle is 6:9: 10

Hence the angles can be 6x,9x,10x

We have

6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0

Angles are 43.2^0,64.8^0,72^0

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