Question

Angle M and Angle N are vertical angles. The measure of Angle M is 3x – 18. The measure of Angle N is x + 30.

Answer 1

Answer:

$24 = x$

$54° = Measure\:of\:Angle\:N$

$54° = Measure\:of\:Angle\:M$

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°

$24° = x$ [Plug this back into both expressions to get both m∠N and m∠M at 54°.]

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