Angle m and angle n are vertical angles. the measure of angle m is 3x – 18. the measure of angle n is x + 30.
solve for x, and find the measures of angles m and n.
x =
measure of angle m = degrees.
measure of angle n = degrees.

Step-by-step explanation:

Vertical Angles are congruent, so set the two expressions equal to each other:

[x + 30]° = [3x - 18]°

-[3x]° - [3x]°

___________

−18° = 30° - [2x]°

- 30° - 30°

____________

−48° = [−2x]°

____ ___

−2° −2°

[Plug this back into both expressions to get both m∠N and m∠M at 54°.]

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