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)

Question

Responses

60
60

6
6

50
50

11

Answer 1

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.