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Norma-Jean [14]
3 years ago
15

The measures of the angles of a triangle are in the ratio 2:4:9 find the measures of all three angles

Mathematics
1 answer:
liraira [26]3 years ago
6 0

all angles  = 180 degrees total

add the ratios: 2 +4 +9 = 15

180/ 15 = 12

12*2 = 24

12*4 = 48

12*9 = 108

108 + 48 + 24 = 180

the three angles are: 24, 48 and 108

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<em>2 + 10 = 24</em>

<em>2(2 + 10) = 2×12 = 24</em>

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<em>3(3 + 6) = 3×9 = 27</em>

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<em>7(7 + 2) = 7×9 = 63</em>

<em>5 + 3 = 40</em>

<em>5(5 + 3) = 5×8 = 40</em>

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