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 solve the equation:
50° + (7x - 4)° = 116°
Adding like terms, we have:
7x + 50 - 4 = 116
Combining like terms, we get:
7x + 46 = 116
Subtracting 46 from both sides, we have:
7x = 70
Dividing both sides by 7, we get:
x = 10
Therefore, the measure of angle L is (7x - 4)° = (7 * 10 - 4)° = 70°. Answer: \boxed{70}.
Nope
Apologies for the incorrect answer.
Given that the sum of the measures of angles M and L is 116°, and the measure of angle M is 50°, let's set up the equation to find the measure of angle L:
M + L = 116
Substituting the known values:
50 + L = 116
Now we can solve for L:
L = 116 - 50
L = 66
Therefore, the measure of angle L is 66°. Answer: \boxed{66}.
The answears are
10
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20
Apologies for the previous incorrect answer. Let's solve it correctly.
Given that the sum of the measures of angles M and L is 116°, and the measure of angle M is 50°, and the measure of angle L is (7x – 4)°, let's set up the equation:
M + L = 116
Substituting the known values:
50 + (7x – 4) = 116
Simplifying the equation:
7x - 4 + 50 = 116
Combining like terms:
7x + 46 = 116
Subtracting 46 from both sides:
7x = 116 - 46
7x = 70
Dividing both sides by 7:
x = 10
Now we can find the measure of angle L:
L = 7x - 4
L = 7(10) - 4
L = 70 - 4
L = 66
Therefore, the measure of angle L is (7x – 4)° = 66°. The value of x is 10.