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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

b

step-by-step explanation:

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value