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3 years ago

Help me please I need it

Mathematics

2 answers:

Lynna [10]3 years ago

4 0

Answer:

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:

$\frac{3z}{3} = \frac{84}{3}$

z = 28

Double-check whether our derived answers are correct:

m < (3z - 9)° + < x° = 180°

3(28) - 9 + 105° = 180°

84° - 9° + 105° = 180

180° = 180° (True statement)

Please mark my answers as the Brainliest if you find my explanations helpful :)

Makovka662 [10]3 years ago

3 0

Step-by-step explanation:

$x = 105 \\ is \: the \: correspoding \: angel \\ \\ (3z - 9) + 105 = 180 \\ \\ 3z - 9 + x= 180 \\ \\ 180 - 96 \\ \\ 3z = 84 \\ \\ z = \frac{84}{3} \\ \\ z = 28$

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

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