Question

Finding missing angle. PLEASE HELP ME!

Answer 1

Answer:

x=147°

Step-by-step explanation:

1. Analyze: The angle opposite to the 33 degree angle is 33 degrees because they are vertical angles.

2. Make an equation: The sum of all four angles (x, the angle opposite of x, the 33 degree angle, and the angle opposite of the 33 degree angle) is 360°. Therefore the equation would be (33°x2)+2x= 360°.

3. Solve for x:

      a. Multiply 33 by 2

               66+2x=360

      b. Subtract 66 from both sides

               66+2x=360

               -66       -66

               2x=294

      c. Divide both sides by 2

                  $\frac{2x}{2} =\frac{294}{2}$

                   x=147

4. Remember to add your label- the degree sign (°)

                  x=147°