Question

Solve for the variables

Answer 1

Answer:

P  = 32

x  = 35

Step-by-step explanation:

For the first diagram,

 The two angles given are corresponding angles. Corresponding angles are equal;

 So;

    the first angle is a right angle triangle;

  90 =  3P - 6

       3P  = 90 + 6

        3P  = 96

          P  = 32

For the second diagram;

The sum of those two angles is 180°

      (x + 75) + 2x = 180

      x + 2x + 75  = 180

          3x + 75  = 180

          3x  = 180 - 75

         3x  = 105

          x  = 35