What is the measure of the missing angle

42°

Step-by-step explanation:

We can see that in one leg of the right triangle we already have a 132 degree obtuse angle given. And since a line is 180 degrees, we can see that the inner acute angle of the right triangle is 180 - 132 = 48 degrees.

And since 3 angles of a triangle adds up to become 180, we can use standard algebra to find: 180 - 90 - 48 = 42 degrees.