The sum of the measures of the angles in any triangle is always 180 degrees.
Let the missing angle be y degrees.
Therefore, we have the equation:
2x + 6 + 3x - 26 + y = 180
Combining like terms:
5x - 20 + y = 180
Rearranging the equation:
5x + y = 200
Since we know that x is a positive integer, we can find the possible values of x that make the equation true.
For x = 30:
5(30) + y = 200
150 + y = 200
y = 200 - 150
y = 50
Thus, the missing angle in the triangle is 50 degrees.
A right triangle has acute angles measuring 2x+6 degrees and 3x-26 degrees. Use the triangle angle sum theorem to find the measure of the missing angles of the triangle
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