kamari444
kamari444 kamari444
  • 29-10-2021
  • Mathematics
contestada

The measure of the exterior angles of a quadrilateral are 4x° , 7x°, 9x° and 10x°. Find the measure of the smallest exterior.

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clarch19
clarch19 clarch19
  • 29-10-2021

Answer:

48°

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360°

so, 4x + 7x + 9x + 10x = 360

30x = 360

x = 12

smallest exterior ∡ is 4x, so 4(12) = 48°

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