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Step-by-step explanation:

because x = 75 is the corresponding angel

and x value was 75 then (3z-9) was straight angel they are sum was 180 degree. my answer was wrong please report

x = 105

z = 28

Step-by-step explanation:

Alternate exterior angles are exterior angles that do not have a common vertex on alternate sides of the transversal. Therefore, m < (3z - 9)° has the same measure as m < 75° because they are alternate exterior angles.  

Also, the sum of m < (3z - 9)°  and < x° = 180° because they are supplementary angles.

We can solve for the measure of < x° by:

x° = 180° - m < (3z - 9)°

x° = 180° - 75°

x° = 105°

Now that we have the value of x°, we can solve for the value of z by substituting the x° = 105° into the established equation:

m < (3z - 9)° + < x° = 180°

3z - 9 + 105° = 180°

3z + 96° = 180°

Subtract 96 from both sides:

3z + 96° - 96° = 180° - 96°

3z = 84°

Divide both sides by 3 to solve for z:

z = 28

Double-check whether our derived answers are correct:

m < (3z - 9)° + < x° = 180°

3(28) - 9 + 105° = 180°

3(28) - 9 + 105° = 180°

84° - 9° + 105° = 180

180° = 180° (True statement)

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the answer is b