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 c

Answer 1

To find the value of c, we need to find the measure of the second angle.

Since the two angles are complementary, their measures add up to 90 degrees.

We know that one angle has a measure of 40 degrees:

40 + (8x + 2) = 90

8x + 42 = 90

Subtracting 42 from both sides:

8x = 48

Dividing both sides by 8:

x = 6

Now we can find the measure of the second angle using the value of x:

Second angle = 8(6) + 2 = 48 + 2 = 50 degrees

Therefore, the value of c is equal to 50 degrees.