Finding missing angle. PLEASE HELP ME!

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

                   x=147

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

                  x=147°

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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