Home > Geometry > Complementary and Supplementary Angles

The measures of two supplementary angles are in the ratio of 2:3. What are the measurements of the two angles?

Answer 1

Maverick Smith

#72^0 " & "108^0#

supplementary angles add up to #180^0#

let the angles are in ratio

#"2:3#

#2:3rarr2+3=5" parts"#

#5 " parts "=180^0#

#1" part "=180/5=36^0#

#2:3::2xx36:3xx36#

#::72^0:108^0#

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

Answer 2

Jayden Jackson

Let the measures of the two supplementary angles be (2x) and (3x) degrees, respectively. Since they are supplementary, their sum is (180) degrees.

So, (2x + 3x = 180).

Solving for (x):

[2x + 3x = 180] [5x = 180] [x = \frac{180}{5}] [x = 36]

Now, we can find the measures of the two angles:

First angle: (2x = 2(36) = 72) degrees.

Second angle: (3x = 3(36) = 108) degrees.

Therefore, the measures of the two supplementary angles are (72) degrees and (108) degrees.

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.