surfsoccer2025 surfsoccer2025
  • 08-11-2021
  • Mathematics
contestada

If angles 1, 2, and 3 are in the ratio 6:5:4,
find their measures.

If angles 1 2 and 3 are in the ratio 654 find their measures class=

Respuesta :

jimrgrant1 jimrgrant1
  • 08-11-2021

Answer:

∠ 1 = 72° , ∠ 2 = 60° , ∠ 3 = 48°

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180°

sum the parts of the ratio , 6 + 5 + 4 = 15 parts

Divide 180° by 15 to find the value of one part of the ratio

180° ÷ 15 = 12 , then

∠ 1 = 12 × 6 = 72°

∠ 2 = 12 × 5 = 60°

∠ 3 = 12 × 4 = 48°

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