helpmeimdumb24
helpmeimdumb24 helpmeimdumb24
  • 21-02-2020
  • Mathematics
contestada

The measures of the angles of a pentagon are in the ratio 3:3:3:4.5. What is the number of degrees in the measure of the largest angle

Respuesta :

jimrgrant1 jimrgrant1
  • 21-02-2020

Answer:

150°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 ( Pentagon has 5 sides ), thus

sum = 180° × 3 = 540°

Sum the parts of the ratio, 3 + 3 + 3 + 4 + 5 = 18 parts

Divide 540° by 18 to find the value of one part of the ratio

540° ÷ 18 = 30° ← value of 1 part of the ratio, thus

5 parts = 5 × 30° = 150° ← largest angle

Answer Link
maya1blackburn1
maya1blackburn1 maya1blackburn1
  • 27-03-2020

Answer:

150 Degrees

Step-by-step explanation:

Answer Link

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