fortytwotwoforty fortytwotwoforty
  • 07-01-2021
  • Mathematics
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Vertical Angles: Find the Supplementary Angles (photo provided)

Vertical Angles Find the Supplementary Angles photo provided class=

Respuesta :

jimrgrant1 jimrgrant1
  • 07-01-2021

Answer:

105°

Step-by-step explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

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