In ARST, mZR = (5x – 11)", mZS = (3x – 3)°, and m_T = (3x + 18)º.
Find mZR.

m∠R = 69

Step-by-step explanation:

m∠R + m∠S + m∠T = 180       {Angle sum property of triangle}

5x - 11 + 3x - 3 +  3x + 18 = 180

5x + 3x + 3x - 11 - 3 + 18 = 180     {Combine like terms}

                     11x  +4      = 180

                                 11x = 180 - 4

                                 11x = 176

                                    x = 176/11

x = 16

m∠R = 5x - 11

        = 5*16 - 11

        = 80 - 11

m∠R = 69

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