Question

Write and solve an equation to find the value of x and the missing angle measures.

Answer 1

Answer:

Step-by-step explanation:

1). Since, both the angles are vertically opposite angles,

  Measure of both the angles will be same.

  6x = 30

   x = 5

2). Since, both the angles are the linear pair of angles,

   (4 + 5x)° + (x + 2)° = 180°

    6x + 6 = 180

    6x = 180 - 6

    x = $\frac{174}{6}$

    x = 29

    Therefore, (4 + 5x)° = 4 + 5(29)

                                     = 149°

    And (x + 2)° = (29 + 2)

                        = 31°

3). Since, both the angles are linear pair of angles,

    5x° + (3x + 12)° = 180°

    8x + 12 = 180

    8x = 180 - 12

    x = $\frac{168}{8}$

    x = 21

    Therefore, 5x° = 5(21)

                             = 105°

    (3x + 12)° = 3(21) + 12

                    = 75°