Question

The measures of the angles of a triangle are shown in the figure below. Solve for X.
42°

Answer 1

To solve for x in the triangle, set up the equation 42 + x + 90 = 180 and solve for x. The solution is x = 48 degrees.

Step-by-step explanation:

To solve for x, we need to use the fact that the sum of the angles in a triangle is always 180 degrees. In this case, we are given that one angle is 42 degrees, so we can set up the equation:

42 + x + 90 = 180

Simplifying, we get:

x + 132 = 180

Subtracting 132 from both sides:

x = 48

Therefore, x is equal to 48 degrees.