SOLUTION: Angle F and Angle G are complementary. The measure of Angle F is four times the measure of Angle G. What is the measure of each Angle?

Algebra ->  Angles -> SOLUTION: Angle F and Angle G are complementary. The measure of Angle F is four times the measure of Angle G. What is the measure of each Angle?      Log On


   

Question 986248: Angle F and Angle G are complementary. The measure of Angle F is four times the measure of Angle G. What is the measure of each Angle?
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
If angle F is four times G,
Then,
F=4G
Since F and G are complementary,Then they sum up to 90
i.e, G+F=90
but F=4G
therefore,
G+4G=90
5G=90
G=18
Then,
F=4(18)
F=72
The measure of angle F is 72 and G is 18.
HOPE THIS HELPS?
Timnewman::