There is a triangle with 3 sides. Angle A is (2x+4). Angle B is (2x-9). What is angle c

1 answer

To find the measure of angle C, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's set up the equation:
Angle A + Angle B + Angle C = 180

Substituting the given expressions:
(2x + 4) + (2x - 9) + Angle C = 180

Combining like terms:
4x - 5 + Angle C = 180

Now, we can isolate the Angle C by subtracting 4x - 5 from both sides:
Angle C = 180 - 4x + 5

Simplifying:
Angle C = 185 - 4x

Therefore, the measure of Angle C is 185 - 4x.