Answer: 68°
Step-by-step explanation: To find the missing angle measure, represented by x, it's important to understand that the sum of the measures of the angles of a triangle is 180°
So to find the value of x, we can
setup the equation x + 75° + 37° = 180°.
Solving from here, we first simplify the left side of the equation.
So 75 + 37 is 112 and we have x + 112° = 180°
Next, to get x by itself, we subtract 112° from both sides.
On the left, the 112's cancel out and we are left with x.
On the right, 180° - 112° is 68°.
So x = 68°.
This means that the missing angle
measure in the triangle shown is 68°.