Hi there!
A triangles angles will always add up to 180°.
Therefore, we can add these equations to get 180° and then find x.
(4x-2) + (7x-2) + (5x-8) = 180°
Now we simply the equation by combining like terms.
16x -12 = 180°
Now we can solve for x. ^w^
16x -12 = 180°
+12 +12
~~~~~~~~~~~~~
16x = 192
/16 /16
~~~~~~~~~~~~~
x = 12
Yay! We found x. Now we plug it into each equation:
~ 4x-2
4(12)-2
48-2
46°
~ 7x-2
7(12)-2
84-2
82°
~ 5x-8
5(12)-8
60-8
52°
It’s always a good idea to check if these angles add up properly to 180°.
46° + 82° + 52° = 180°
Congrats! We are all done ^u^
Answers:
X = 12
mx = 46°
my = 82°
mz = 52°
-Ash, 10th Grade