Question

Angle F and Angle G are supplementary. The measure of Angle G is six and one half times the measure of Angle F. What is the measure of Angle F?

Answer 1

`F=24`

Explanation:

If `F` and `G` are supplementary, then `F+G=180`.

If `G` is `6.5` times the size of `F`, then `G=6.5F`

So, `F+G=180`

`F+6.5F=180`, since `G=6.5F`

`7.5F=180` collect like terms

`F=24` divide both sides by `7.5`