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)
Answers
GPT 3.5
The sum of two complementary angles is always 90°. Therefore, the equation is:
40° + (8x+2)° = 90°
Combining like terms, we have:
40° + 8x + 2° = 90°
Simplifying further:
42° + 8x = 90°
Subtracting 42° from both sides:
42° + 8x - 42° = 90° - 42°
8x = 48°
Dividing both sides by 8:
8x/8 = 48°/8
x = 6°
Therefore, the value of x is 6.
40° + (8x+2)° = 90°
Combining like terms, we have:
40° + 8x + 2° = 90°
Simplifying further:
42° + 8x = 90°
Subtracting 42° from both sides:
42° + 8x - 42° = 90° - 42°
8x = 48°
Dividing both sides by 8:
8x/8 = 48°/8
x = 6°
Therefore, the value of x is 6.