Answer:
x = 27
Step-by-step explanation:
Using the information in the figure, we can conclude that the 3x - 17, x + 40, and 2x - 5 would be the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180° (use the equation: (n-2) × 180°).
By using this information, we can conclude that (3x - 17) + (x + 40) + (2x - 5) would equal 180. We can put this into the equation:
(3x - 17) + (x + 40) + (2x - 5) = 180
To find the value of x in this equation (solve for x), we would have to get the equation into the form x = _.
(3x - 17) + (x + 40) + (2x - 5) = 180
3x - 17 + x + 40 + 2x - 5 = 180
Combine like terms.
6x + 18 = 180
Subtract 18 from both sides to get rid of the +18 on the left side.
6x = 180 - 18
Simplify.
6x = 162
Divide 6 form both sides to get rid of the coefficient of 6 on the left side.
x = 162 ÷ 6
Simplify.
x = 27
x = 27
I hope this helps. :)
