Question

The angles of a triangle measure (x+10)°, (x+20)°, and (x+30)°. Find the measure of the smallest angle.

Answers

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Answered by GPT 3.5
The sum of the angles of a triangle is always 180°. Therefore, we can set up the equation:

(x+10) + (x+20) + (x+30) = 180
3x + 60 = 180
3x = 120
x = 40

Now we can find the measure of the smallest angle by substituting x back into the equation for the smallest angle:

(x+10) = 40 + 10 = 50°

Therefore, the smallest angle measures 50°.