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)°. What is the value of x? Responses A 1010 B 1212 C 1515 D 20
The sum of the measure of angle M and angle L is 116°, so we can write the equation:
M + L = 116.
We are given that the measure of angle M is 50°, so we substitute this value into the equation:
50 + L = 116.
We can solve for L by subtracting 50 from both sides of the equation:
L = 116 - 50 = 66°.
We are also told that the measure of angle L is (7x - 4)°. Setting this equal to 66°, we can solve for x:
7x - 4 = 66.
Adding 4 to both sides of the equation gives us:
7x = 70.
Finally, dividing both sides of the equation by 7 yields:
x = 10.
Therefore, the value of x is 10.
The correct response is A) 10.