SareenaP663899 SareenaP663899
  • 25-10-2022
  • Mathematics
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In the diagram shown, ray CD is perpendicular to ray CE. If the measure of DCF is 115then what is the measure of ECF?

In the diagram shown ray CD is perpendicular to ray CE If the measure of DCF is 115then what is the measure of ECF class=

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AzelyaM109914 AzelyaM109914
  • 25-10-2022

m∠FCE =25º

1) Since the measure of ∠DCF = 115º and ∠DCE = 90º then by the Angle Addition postulate we can state that

∠DCF = ∠DCE +∠FCE Plugging into that the given values

115º = 90º + ∠FCE Subtracting 90º from both sides

115-90=∠FCE

25º =∠FCE

2) Then the measure of ∠FCE is 25º

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