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x = 13

Step-by-step explanation:

3x + 60 + 3x + 42 = 180    {Linear pair}

3x + 3x + 60 + 42 = 180        {Combine like terms}

         6x + 102      = 180             {Subtract 102 from both sides}

                    6x     = 180 - 102

                        6x = 78              {Divide both sides by 6}

                          x = 78/6

                         x = 13

x = 13

Step-by-step explanation:

Linear Pair of Angles

Two intersecting lines form 4 angles. The measure of any pair of adjacent angles must add up to 180°.

In the figure, the angles 3x+60 and 3x+42 are linear, thus:

3x + 60 + 3x + 42 = 180

Simplifying:

6x + 102 = 180

Subtracting 102:

6x = 78

Dividing by 6:

x = 78/6 = 13

x = 13

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.