Question
Two angles are complementary. One angle has a measure of 40° and the other has a measure of (8x+2)° . What is the value of x ?(1 point)
Responses
50
50
60
60
6
6
11
Responses
50
50
60
60
6
6
11
Answers
GPT 3.5
To find the value of x, we can use the fact that complementary angles add up to 90 degrees.
Given that one angle measures 40 degrees, the other angle measures (8x+2) degrees.
Thus, we can set up the equation:
40 + (8x+2) = 90
Simplifying the equation, we get:
8x + 42 = 90
Subtracting 42 from both sides of the equation, we get:
8x = 48
Dividing both sides of the equation by 8, we get:
x = 6
Therefore, the value of x is 6.
Given that one angle measures 40 degrees, the other angle measures (8x+2) degrees.
Thus, we can set up the equation:
40 + (8x+2) = 90
Simplifying the equation, we get:
8x + 42 = 90
Subtracting 42 from both sides of the equation, we get:
8x = 48
Dividing both sides of the equation by 8, we get:
x = 6
Therefore, the value of x is 6.