The measures of the angles of a triangle are shown in the figure below. Solve for x. 49° (5x-17)° 68°
To solve for x, we know that the sum of the angles in a triangle is always 180 degrees.
So, we can set up the equation:
49 + (5x - 17) + 68 = 180
Combine like terms:
117 + 5x - 17 = 180
100 + 5x = 180
Subtract 100 from both sides:
5x = 80
Divide by 5:
x = 16
Therefore, x = 16.