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 2

x = 23°

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°