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.

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.

anonymous · Answer

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$$x=40$$

anonymous · Answer

Plug 40 into the angle measures for x and simplify

anonymous · Answer

$$2(40)$$
$$(40)+24$$
$$40 -4$$

simplify those and you have you angles