Question

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 2020
Skip to navigation

Answer 1

To find the value of x, we first need to set up an equation using the given information. We know that the sum of the measure of angle M and angle L is 116°, so we can write the equation as:

M + L = 116

We also know that the measure of angle M is 50°, so we can substitute this value in the equation:

50 + L = 116

Finally, we are given that the measure of angle L is (7x – 4)°, so we can substitute this expression in the equation:

50 + (7x – 4) = 116

Simplifying the equation:

7x + 46 = 116

Subtracting 46 from both sides of the equation:

7x = 70

Dividing both sides of the equation by 7:

x = 10

Therefore, the value of x is 10. Answer choice A, 10, is the correct answer.