Question
angles are complementary. One angle has a measure of 40° and the other has a measure of (8x + 2) °. What is the value of I? (1 point)
• 6
• 11
• 60
• 50
• 6
• 11
• 60
• 50
Answers
GPT 3.5
To find the value of x, we need to set up an equation since the two angles are complementary. The sum of the measures of complementary angles is 90°.
We can set up the equation as follows:
40° + (8x + 2)° = 90°
Simplifying the equation, we get:
8x + 42° = 90°
Subtracting 42° from both sides:
8x = 48°
Dividing both sides by 8:
x = 6°
To find the measure of the second angle, we can substitute the value of x into the expression:
8x + 2 = 8(6) + 2 = 50°
Therefore, the value of the second angle is 50°.
The correct answer is: 50
We can set up the equation as follows:
40° + (8x + 2)° = 90°
Simplifying the equation, we get:
8x + 42° = 90°
Subtracting 42° from both sides:
8x = 48°
Dividing both sides by 8:
x = 6°
To find the measure of the second angle, we can substitute the value of x into the expression:
8x + 2 = 8(6) + 2 = 50°
Therefore, the value of the second angle is 50°.
The correct answer is: 50