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.
Short answer PLEASE
SHort answer
The sum of the angles in a triangle is always 180 degrees.
Therefore, we can set up the equation:
(2x+6) + (3x-26) + (90) = 180
Simplifying, we get:
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22
So, the measures of the missing angles are:
2(22) + 6 = 50 degrees
3(22) - 26 = 40 degrees
Therefore, the missing angles are 40 degrees and 50 degrees.
shorter
The missing angles are 50 degrees and 40 degrees.
not that short show the equation
(2x+6) + (3x-26) + 90 = 180
Solving for x:
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22
Substitute x back into the angles:
2(22) + 6 = 50 degrees
3(22) - 26 = 40 degrees
Therefore, the missing angles are 50 degrees and 40 degrees.