Question

In triangle ABC, angle A
measures 3x + 6 degrees,
angle B measures 4x + 2
degrees and Angle C
measures 10x + 2 degrees, find
the measure of Angle C

Answer 1

Answer:

∠c= 102°

Step-by-step explanation:

Angle sum property of triangle:

     Sum of all angles of triangle = 180°

               ∠A + ∠B + ∠C = 180

         3x +6 + 4x + 2 + 10x + 2 = 180

         3x + 4x + 10x + 6 + 2 + 2 =180

Combine like terms,

                       17x + 10 = 180

Subtract 10 from both sides,

                              17x = 180 - 10

                              17x = 170

Divide both sides by 17,

                                x = 170 ÷ 17

                                $\sf \boxed{x = 10}$

∠C = 10x + 2

      = 10*10 + 2

      = 100 +2

      = 102°