There is a triangle. The angles are (4x+14), (5x+4) and (6x-3). Find the measure of the angles for the triangle.
The sum of the angles in a triangle is always 180 degrees.
So, we have the equation (4x+14) + (5x+4) + (6x-3) = 180.
Combining like terms, we get 15x + 15 = 180.
Subtracting 15 from both sides, we have 15x = 165.
Dividing both sides by 15, we find x = 11.
Now we can substitute x = 11 into the expressions for each angle to find their measures:
Angle 1: 4x+14 = 4(11)+14 = 44+14 = 58 degrees.
Angle 2: 5x+4 = 5(11)+4 = 55+4 = 59 degrees.
Angle 3: 6x-3 = 6(11)-3 = 66-3 = 63 degrees.
So, the measures of the angles in the triangle are 58 degrees, 59 degrees, and 63 degrees.