For the figure shown on the right, find the value of the variable and the measures of the angles.
X=

Step-by-step explanation:
the sum of all angles in a triangle is 180 degrees.
so,
x + (x - 6) + (2x + 34) = 180
x + x - 6 + 2x + 34 = 180
4x + 28 = 180
4x = 152
x = 38 degrees
x - 6 = 32 degrees
2x + 34 = 110 degrees