asveyman
asveyman asveyman
  • 13-07-2020
  • Mathematics
contestada

Find the measures of the supplementary angles that satisfy each case. m∠1:m∠2=5:4

Respuesta :

altavistard
altavistard altavistard
  • 13-07-2020

Answer:

100 and 80 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.  Here we are to find two such angles that are in the ratio 5:4.  To do this, we set up and solve the following equation:

5x + 4x = 180, or

9x = 180, or

x = 20.

Then one angle is 5(20) and the other is 4(20), or 100 and 80.

Note that these two angles add up to 180 degrees, as they must.

The two supplementary angles are 100 and 80 degrees.

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