The difference in the measure of two supplementary angles is 36. What is the measure of the two angles?

Answer 1

#72˚,108˚#

Say that

#mangle1=x# #mangle2=x-36#
These are two angles whose difference is #36#. If they are supplementary, then #mangle1+mangle2=180#.
#x+(x-36)=180#
Solve to find #x#.
#2x-36=180# #2x=216# #x=108#

Thus,

#mangle1=108# #mangle2=108-36=72#
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

Let x be the measure of one of the supplementary angles. The other angle's measure would be 180 - x, as supplementary angles add up to 180 degrees. Given that the difference in measure between the two angles is 36, we can set up the equation: (180 - x - x = 36) Solve for x: (180 - 2x = 36) (-2x = -144) (x = 72) So, one angle measures 72 degrees, and the other angle measures: (180 - 72 = 108) 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