khaliyahmuhammad99
khaliyahmuhammad99 khaliyahmuhammad99
  • 24-02-2020
  • Mathematics
contestada

find the measure of the complement and supplement of an with measure of 60

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 02-03-2020

Answer:

The complement is 30°

The supplement is 120°

Step-by-step explanation:

Supplementary angles add up to 180°

Let x be the supplement of 60°, then

[tex]x + 60 = 180[/tex]

Subtract 60 from both sides of the equation to get:

[tex]x = 180 - 60 [/tex]

[tex]x = 120[/tex]

Therefore the supplement of 60° is 120°.

Complementary angles add up to 90°

Let y be the complement of 60°.

Then

[tex]y + 60 = 90[/tex]

[tex]y = 90 - 60[/tex]

[tex]y = 30[/tex]

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