Given the figure below find the values of x and z
(12x +2)°
94°
z°

z = 94

x = 7

Step-by-step explanation:

The angle with a measure of 94° and the angle labeled "z" are vertical angles

Vertical angles are congruent ( equal to each other )

Which means that because "z"s vertical angle = 94° z also equals 94°

The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles

Supplementary angles add up to equal 180

Hence, 94 + 12x + 2 = 180

                        ^ (Note that this is the equation we will use to solve for x )

Now we solve for x

94 + 12x + 2 = 180  

step 1 combine like terms

94 + 2 = 96

we now have 180 = 96 + 12x

step 2 subtract 96 from each side

180 - 96 = 84

96 - 96 cancels out

we now have 84 = 12x

step 3 divide each side by 12

84 / 12 = 7

12x / 12 = x

we're left with x = 12

thus, the first answer choice, y = sec x, is the correct one