A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.(4 points)write in your own words please
To find the measures of the missing angles of the right triangle, we can use the Triangle Angle Sum Theorem which states that the sum of the angles in any triangle is always 180 degrees.
Since we already know the measures of two angles (2x+6 and 3x-26), we can set up an equation to find the third angle.
The sum of the three angles in a triangle is 180 degrees.
So, (2x+6) + (3x-26) + 90 = 180.
Now solve for x to find the value of x. Once we find x, we can substitute it back into the expressions for the given angles to find their measures.