The measures of the angles of a triangle are shown in the figure below. Solve for x.

27°

Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.

To find the value of x, remember that the sum of the

measures of the angles in a triangle is 180°

So we can setup the equation 63 + 90 + x = 180.

Remember that a box indicates a 90° angle.

Now to solve for x, let's first simplify on the left side of the equation.

63 + 90 is 153 so we have 153 + x = 180.

Now to get x by itself, we subtract 153 from both sides of the equation.

On the left side of the equation, 153 - 153 cancels out and we have x

and on the right side of the equation, 180 - 153 is 27.

This means that the missing angle in the triangle is 27°.