The measures of 3 angles of a triangle are given by 3x+1, 2x-3, and 9x. What is the measurement of the smallest angle? 13 degrees, 23 degrees, 29 degrees, or 40 degrees?
the sum of the interior angles of a triangle is 180 degrees, so:
3x+1+2x-3+9x = 180
14x-2 = 180
14x = 182
x = 13
the obvious smallest angle is the 2x-3 one, so plugging our x in:
2(13) - 3 = 26 - 3 = 23
so, the answer is 23 degrees.
hope this helped! please correct me if i am wrong:)