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find the measures of the angles of a triangle in which one angle is 70 degrees and the other two are in ratio 3 is to 8

User Jrath
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1 Answer

1 vote

Answer:

angles are 30° , 70° , 80°

Explanation:

two angles in the ratio 3 : 8 = 3x : 8x ( x is a multiplier )

given one angle is 70°

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

sum the 3 angles and equate to 180, solving for x

3x + 8x + 70 = 180 , that is

11x + 70 = 180 ( subtract 70 from both sides )

11x = 110 ( divide both sides by 11 )

x = 10

Then

3x = 3 × 10 = 30

8x = 8 × 10 = 80

the 3 angles are 30° , 70° , 80°

User Michael Seibt
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7.4k points