The ratio of two supplemetary angles is 3:6. What is the measure of the smaller angle?

Answer 1

#60^@#

Let the 2 supplementary angles be #x and y#.
Since they are supplementary, #x+y=180^@#...........(1).
Since the ratio of #x# to #y# is #3:6=1:2#, #y=2x#......(2).

Now solve for equations (1) and (2) simultaneously :

Substituting (2) into (1) yields :

#x+2x=180#
#thereforex=180/3=60^@#.
#therefore y=2(60)=120^@#.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

If the ratio of two supplementary angles is 3:6, then the smaller angle corresponds to 3 parts out of the total of 3 + 6 = 9 parts. To find the measure of the smaller angle, divide the total measure of the supplementary angles by 9 and multiply the result by 3.

Let x be the measure of the smaller angle. [ \frac{x}{x + 2x} = \frac{3}{9} ] [ \frac{x}{3x} = \frac{1}{3} ] [ 3x = 9 ] [ x = 3 ]

So, the measure of the smaller angle is 3 times the common ratio, which is (3 \times 3 = 9) degrees.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7