Solve the following.
In triangleABC, AB = CB, mangleABC = 4x – 3, and mangleCAB = x – 3. What is mangleACB?
Since the sum of the angles in a triangle is 180 degrees, we have:
mangleABC + mangleCAB + mangleACB = 180
Substituting the given expressions, we have:
4x - 3 + (x - 3) + mangleACB = 180
Combining like terms, we get:
5x - 6 + mangleACB = 180
Simplifying further, we have:
5x + mangleACB = 186
Subtracting 5x from both sides, we get:
mangleACB = 186 - 5x
Therefore, mangleACB is equal to 186 - 5x degrees.