Question

4.) The measures of the angles of a triangle are 2x, x + 24, and x – 4. Find the value of x and then find the measures of each of the angles. (Be sure to show all your work.

Answer 1

Set all 3 angles equal to 180.
\[2x+x+24+x-4 = 180\]
Combine like terms.
\[4x+20=180\]
Subtract 20 from both sides
\[4x=160\]
Divide both sides by 4\[x=40\]

Answer 2

Plug 40 into the angle measures for x and simplify

Answer 3

\[2(40)\]
\[(40)+24\]
\[40 -4\]

simplify those and you have you angles