hanooy27110
hanooy27110 hanooy27110
  • 25-06-2019
  • Mathematics
contestada

How can I solve this question???

How can I solve this question class=

Respuesta :

calculista
calculista calculista
  • 06-07-2019

Answer:

144°

Step-by-step explanation:

step 1

Find the measure of the central angle of the regular pentagon

Divide 360 degrees by 5 (the number of sides)

[tex]360\°/5=72\°[/tex]

Let

c----> the center of the pentagon

we know that

m∠ECA=72°

m∠ACB=72°

therefore

m∠ECB=m∠ECA+m∠ACB

substitute the values

m∠ECB=72°+72°=144°

The measure of angle ECB is equal to the degrees that the pentagon rotate

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