A right triangle has acute angles measuring 3x degrees and 2x + 10 degrees. Use the Triangle Angle Sum Therom to find the measures of the missing angles of the triangle.

Answer 1

The Triangle Angle Sum Theorem states that the sum of the three angles in a triangle is always 180 degrees.

Let's use the given information to set up an equation using this theorem:

3x + (2x + 10) + ?? = 180

We know that 3x is one of the angles, 2x + 10 is another angle, and we need to find the measure of the missing angle.

Combine like terms on the left side:
5x + 10 + ?? = 180

We can rewrite the equation as:
5x + ?? = 180 - 10

Simplify the right side:
5x + ?? = 170

Now, we can solve for the missing angle:
?? = 170 - 5x

The measure of the missing angle is 170 - 5x.

Note: Without more information or a specific value for x, we cannot determine the exact measures of the missing angles.