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  • 22-11-2020
  • Mathematics
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The angles of a triangle are in the ratio 1 : 4 : 5.
Work out the size of the smallest angle?

Respuesta :

jimrgrant1 jimrgrant1
  • 22-11-2020

Answer:

18°

Step-by-step explanation:

sum the parts of the ratio, 1 + 4 + 5 = 10 parts

The sum of the 3 angles in a triangle = 180° , then

180° ÷ 10 = 18° ← value of 1 part of the ratio

Since 1 is the smallest part of the ratio it represents the smallest angle, thus

smallest angle = 18°

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