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.
Accepted Solution
A:
Answer:[tex]24 = x[/tex][tex]54° = Measure\:of\:Angle\:N[/tex][tex]54° = Measure\:of\:Angle\:M[/tex]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°[tex]24° = x[/tex] [Plug this back into both expressions to get both m∠N and m∠M at 54°.]I am joyous to assist you anytime.