2 angles are complimentary. One angle has a measure of forty and the other has a measure of eight x plus two

Answer 1

To find the measure of the second angle, we need to set up an equation using the fact that the angles are complementary.

The sum of two angles is 90 degrees (complementary angles). Therefore, we have the equation:

40 + 8x + 2 = 90

To solve for x, we subtract 40 and 2 from both sides of the equation:

8x = 90 - 40 - 2
8x = 48

Finally, we divide both sides by 8 to solve for x:

x = 48/8
x = 6

Therefore, the measure of the second angle is:

8x + 2 = 8(6) + 2 = 48 + 2 = 50 degrees.