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
60
60
6
6
50
50
11
To find the value of x, we can set up an equation since the two angles are complementary.
The first angle has a measure of 40°, so we can write it as 40°.
The second angle has a measure of (8x+2)°, so we can write it as (8x+2)°.
Since the angles are complementary, their measures add up to 90°.
So, we can write the equation:
40° + (8x+2)° = 90°
Simplifying the equation, we get:
8x + 42° = 90°
Subtracting 42° from both sides, we get:
8x = 48°
Dividing both sides by 8, we get:
x = 6
Therefore, the value of x is 6.