Given that the sum of all angles in a triangle is 180 degrees, we can set up an equation as follows:
(2x + 6) + (3x - 26) + (90) = 180
Combining like terms, we get:
5x - 20 = 180
Adding 20 to both sides:
5x = 200
Dividing by 5:
x = 40
Now we can find the measures of the missing angles by substituting x back into the expressions for the angles:
2x + 6 = 2(40) + 6 = 86 degrees
3x - 26 = 3(40) - 26 = 94 degrees
Therefore, the missing angles are 86 degrees and 94 degrees.
A right triangle has acute angles measuring 2x+6
2
�
+
6
degrees and 3x−26
3
�
−
26
degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.
1 answer