The sum of the measures of the angles of a triangle is 180 °. Determine the three angles of a triangle, if an angle is 20 ° greater than the smallest angle and the third angle is twice the smallest angle.

Question

Carley Solomon

Mathematics

25 October, 12:43

The sum of the measures of the angles of a triangle is 180 °. Determine the three angles of a triangle, if an angle is 20 ° greater than the smallest angle and the third angle is twice the smallest angle.

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Answers (1)

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Davion · Answer 1

Let smallest angle = x

the other is x+20

and the last is 2x

combine all to equal 180

x+x+20+2x=180

combine like terms

4x+20=180

4x=160

x=40

therefore the 3 angles are 40, 60, and 80.