Question

If X is the measure of an angle 90 -X is the measure of the complement of the angle. If the measure of the angle equals four times the measure of the complement, what is the measure of the angle?

Answer 1

x = 72

Step-by-step explanation:

We know that x is frour times 90 - x, which gives

`x=4(90-x)`

We now solve for x:

Expanding the right-hand side gives

`x=4\cdot90-4x`
`x=360-4x`

adding 4x to both sides gives

`x+4x=360`
`5x=360`

Finally, dividing both sides by 5 gives

`x=(360)/(5)`

which gives

`\boxed{x=72}`

which is our answer!