palpyandfriends palpyandfriends
  • 20-05-2019
  • Mathematics
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need help with this one

need help with this one class=

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MathPhys
MathPhys MathPhys
  • 20-05-2019

Answer:

68

Step-by-step explanation:

∠DPG and ∠EPF are vertical angles, so they are equal.

7x = 4x + 48

3x = 48

x = 16

So ∠DPG is:

∠DPG = 7x

∠DPG = 112

∠DPE and ∠DPG are supplementary, so they add up to 180:

∠DPE + ∠DPG = 180

∠DPE + 112 = 180

∠DPE = 68

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