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One angle in a triangle is 20 degrees more than the smallest angle in the triangle, while the other angle is 22 degrees more than the smallest angle. find the measures of the three angles

Respuesta :

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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