Question

The sum of the measures of Angle M and Angle L is 116°.
The measure of Angle M is 50º
The measure of Angle L is (7x - 4)º .
What is the value of x?

Answer 1

Since the sum of the measures of Angle M and Angle L is 116°, we can set up the equation:

Angle M + Angle L = 116°

Substituting the given values, we have:

50° + (7x - 4)° = 116°

Now we solve for x by isolating it on one side of the equation:

7x - 4 = 116 - 50
7x - 4 = 66

Adding 4 to both sides of the equation:

7x = 70

Finally, dividing both sides of the equation by 7:

x = 10

Therefore, the value of x is 10.