Home > Geometry > Complementary and Supplementary Angles

B and C are supplementary angles. What are their measurements if B = #2x-40# and C = #2x+20#?

Answer 1

Claire Akin

#B=60^0#

#C=120^0#

two angles are supplementary if they add up to #180^0#

thus

#2x-40+2x+20=180#

solving for #x#

#4x-20=180#

#4x=180+20=200#

#=> x=200/4=50#

angle B#=2x-40=2xx50-40=100-40=60^0#

angle C#=2x+20=2xx50+20=100+20=120^0#

a quick check to see if they are supplementary

#60+120=180sqrt#

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

Answer 2

Ella Armstrong

Since B and C are supplementary angles, their measures sum up to 180 degrees. Therefore, you can set up the equation:

B + C = 180

Substitute the given expressions for B and C:

(2x - 40) + (2x + 20) = 180

Combine like terms:

4x - 20 = 180

Add 20 to both sides:

4x = 200

Divide both sides by 4:

x = 50

Now, substitute the value of x back into the expressions for B and C:

B = 2x - 40 B = 2(50) - 40 B = 100 - 40 B = 60

C = 2x + 20 C = 2(50) + 20 C = 100 + 20 C = 120

Therefore, the measures of angles B and C are 60 degrees and 120 degrees, respectively.

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

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.