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?
• The measure of angle M is 50°.
• The measure of angle L is (7x - 4)°.
What is the value of x?
Answers
GPT 3.5
The sum of the measure of angle M and angle L is 116°, so we can set up the equation M + L = 116.
We are given that the measure of angle M is 50°, so we can substitute that in the equation to get 50 + L = 116.
We are also given that the measure of angle L is (7x - 4)°, so we can substitute that in the equation to get 50 + (7x - 4) = 116.
Simplifying the equation, we get 7x + 46 = 116.
Subtracting 46 from both sides of the equation, we get 7x = 70.
Dividing both sides of the equation by 7, we get x = 10.
Therefore, the value of x is 10.
We are given that the measure of angle M is 50°, so we can substitute that in the equation to get 50 + L = 116.
We are also given that the measure of angle L is (7x - 4)°, so we can substitute that in the equation to get 50 + (7x - 4) = 116.
Simplifying the equation, we get 7x + 46 = 116.
Subtracting 46 from both sides of the equation, we get 7x = 70.
Dividing both sides of the equation by 7, we get x = 10.
Therefore, the value of x is 10.