Find the measure of each missing angle.
mLA:
mLB:
mLC:
B=2x - 8°
A = 8x- 16°
C=(6x - 4)°
Since the sum of the angles in a triangle is 180°, we can set up the equation:
A + B + C = 180°
Substituting the given values for A, B, and C:
(8x-16°) + (2x-8°) + (6x-4)° = 180°
Combine like terms:
16x - 28° = 180°
Add 28° to both sides:
16x = 208°
Divide both sides by 16:
x = 13°
Now we can substitute x back into the expressions for each angle to find their measures:
A = 8(13°) - 16° = 104° - 16° = 88°
B = 2(13°) - 8° = 26° - 8° = 18°
C = 6(13°) - 4° = 78° - 4° = 74°
Therefore, the measure of each missing angle is:
mLA = 88°
mLB = 18°
mLC = 74°