The angle measures of triangle LMN are given: The measure of angle L is (5x−10)°. The measure of angle M is 30°. The measure of angle N is (11x)°. What is the value of x?

 x = 10°

Step-by-step explanation:

Sum of all three angles of triangle = 180°

∠L + ∠M + ∠N = 180

5x -10 + 30 + 11x = 180        {Combine like terms}

5x +11x -10 + 30 =180

       16x  + 20   = 180   {subtract 20 from both sides}

                   16x = 180 - 20

                  16x = 160       {Divide both sides by 16}

              16x/16 = 160/16

                     x = 10°

the infinity sign

step-by-step explanation: