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? (I know that the sum of complementary angle

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Question 894202: 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?
(I know that the sum of complementary angles is 90 degrees but for some reason I cannot figure out past that. Please help!)

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

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?
(I know that the sum of complementary angles is 90 degrees but for some reason I cannot figure out past that. Please help!)

Let measure of angle F be F
Then measure of angle G is: 90 - F
Therefore, F = 4(90 - F)
F = 360 - 4F
F + 4F = 360
5F = 360
F, or measure of angle F: , or
Measure of angle G: 90 - 72, or
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