Question
Two angles are complementary. One angle has a measure of 40 degree and the other has a measure of (8x + 2) degree. What is the value of x?
Options:
50
11
6
60
Options:
50
11
6
60
Answers
GPT 3.5
Since two angles are complementary, their measures add up to 90 degrees.
Let the measure of one angle be 40 degrees.
The measure of the other angle is (8x + 2) degrees.
Setting up the equation, we have:
40 + (8x + 2) = 90
Combining like terms, we have:
8x + 42 = 90
Subtracting 42 from both sides, we have:
8x = 48
Dividing both sides by 8, we have:
x = 6
Therefore, the value of x is 6.
Let the measure of one angle be 40 degrees.
The measure of the other angle is (8x + 2) degrees.
Setting up the equation, we have:
40 + (8x + 2) = 90
Combining like terms, we have:
8x + 42 = 90
Subtracting 42 from both sides, we have:
8x = 48
Dividing both sides by 8, we have:
x = 6
Therefore, the value of x is 6.