Question

A triangle has angle measures of (x + 3), (5x − 8), and (2x + 1)˚.
PART A: Write an equation to represent the situation and solve for x.
Enter your answer in the space below. SHOW ALL WORK.
I

Answer 1

Answer:

x = 23°

Step-by-step explanation:

Framing an equation and finding the unknown value:

      Sum of all angles of a triangle = 180°

                x + 3 + 5x - 8 + 2x + 1 = 180

                x + 5x + 2x + 3 - 8 + 1 = 180

Combine like terms,

                            8x -4 = 180

Add 4 to both sides,

                                 8x = 180 + 4

                                8x = 184

Divide both sides by 8,

                                 x = 184÷8

                                  x = 23°