Question

What is the measure of angle x?

Answer 1

90-42= 48

So the answer is 48 degrees.

Answer 2

Answer:

x = 48

Step-by-step explanation:

Given the placement of the ∠x, we can see that the angles of 42°, 90° and x all form a straight line, which by definition has a total angle measure of 180°.  In order to find 'x', we can set up the sum of these three angles and solve for 'x':

42 + 90 + x = 180

132 + x = 180

Subtract 112 from both sides: 132 + x - 132 = 180 - 132 or x = 48