SOLUTION: Angle A and angle B are complementary. The measure of angle B is 3 times the measure of A. Find the measure of angles A and B.

Question 222576: Angle A and angle B are complementary. The measure of angle B is 3 times the measure of A. Find the measure of angles A and B.
Found 3 solutions by rfer, drj, checkley77:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
x+3x=90
4x=90
x=22.5degrees
3x=67.5degrees
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Angle A and angle B are complementary. The measure of angle B is 3 times the measure of A. Find the measure of angles A and B.

Step 1. Complementary angles means two angles add up to 90 degrees.

Step 2. Let A be one angle.

Step 3. Let B=90-A be its complement.

Step 4. B=3A or 90-A=3A since the measure of B is 3 time the measure of A.

Step 5. Solving yields the following steps

Add A to both sides of the equation

Divide 4 to both sides of the equation

Then

Step 6. ANSWER: The complementary angles are A=22.5 and B=67.5 degrees.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
a+b=90
b=3a
a+(3a)=90
4a=90
a=90/4
a=22.5 degrees for the smaller angle.
22.5+b=90
b=90-22.5
b=67.5 degrees for the larger angle.
RELATED QUESTIONS
angle a and angle b are complementary. the measure of angle b is three times the measure... (answered by sachi)
The measure of angle A is three times the measure of angle B, and the measure of angle B... (answered by oberobic)
angle A and angle B are complementary. The measure of angle B is three times the measure... (answered by rfer)
Suppose angle A and angle B are complementary angles., and angle C and angle D are also... (answered by solver91311)
Directions : angle a and b are complementary find measure of measure of angle a = 3x -... (answered by hard)
two angles are complementary to each other.The measure of angle A=3x+30 and the measure... (answered by ewatrrr)
Two angles are complementary, and one angle has a measure that is nine times the measure (answered by ikleyn,Theo)
Angle a and angle b are complementary measure of angle a is (5x+2) degrees find the... (answered by jim_thompson5910,DrBeeee)
In triangle ABC, angles A and B are complementary angles. The measure of angle A is 10� (answered by KMST)