The sum of the measure of angle M and angle L is 116°.
The measure of angle M is 50°.
The measure of angle L is (7x – 4)°.
To find the measure of angle L, we need to substitute the given value for angle M into the equation and solve for x.
Angle M = 50°, so we have:
50° + L = 116°
Now we substitute the expression for angle L:
50° + (7x – 4)° = 116°
We can simplify this equation:
50° + 7x – 4° = 116°
Combine like terms:
7x + 46° = 116°
Subtract 46° from both sides:
7x = 70°
Now divide both sides by 7:
x = 10°
Therefore, the measure of angle L is:
L = 7x – 4 = 7(10) – 4 = 70° - 4° = 66°