Question

The angles of a triangle measure 3x, 4x, and 5x. using the triangle angle sum theorem, find the measure of tehe smallest angle in this triangle

45

40

50

75

Answer 1

The sum of the angles in a triangle is always 180 degrees. Using this information, you can set up the equation:

3x + 4x + 5x = 180

12x = 180

x = 15

Now, plug x back into the expressions for the angles:

3(15) = 45
4(15) = 60
5(15) = 75

Therefore, the smallest angle is 45 degrees.