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dexar [7]
2 years ago
10

One angle in a triangle is 20 degrees more than the smallest angle in the triangle, while the other angle is 22 degrees more tha

n the smallest angle. find the measures of the three angles
Mathematics
1 answer:
lisov135 [29]2 years ago
7 0

Answer:

46°, 66°  , 68°

Step-by-step explanation:

let the smallest angle be x then the other 2 angles are x + 20 and x + 22

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

x + x + 20 + x + 22 = 180 , that is

3x + 42 = 180 ( subtract 42 from both sides )

3x = 138 ( divide both sides by 3 )

x = 46

x + 20 = 46 + 20 = 66

x + 22 = 46 + 22 = 68

The 3 angles are 46° , 66°  , 68°

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