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.
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.