The angles of a triangle always add up to 180°. Therefore, we can set up the equation:
(x + 10) + (x + 20) + (x + 30) = 180
Combining like terms, we get:
3x + 60 = 180
Subtracting 60 from both sides, we have:
3x = 120
Dividing both sides by 3, we get:
x = 40
Plugging this value back into one of the angle expressions, we can find the measure of the smallest angle:
x + 10 = 40 + 10 = 50
Therefore, the measure of the smallest angle is 50°.
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.
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