bruce915 bruce915
  • 08-07-2022
  • Mathematics
contestada

Find m/HFG if m/EFG = 2x + 52, m/EFH = 21°, and
m/HFG = x + 31.

Find mHFG if mEFG 2x 52 mEFH 21 and mHFG x 31 class=

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tanweeleong195oxyqwp
tanweeleong195oxyqwp tanweeleong195oxyqwp
  • 08-07-2022

Answer:

31°

Step-by-step explanation:

Given Angle EFG = Angle EFH + Angle HFG (based on the diagram)

[tex]2x+52 = 21 + (x+31)\\2x+52 = 21+x+31\\2x+52=x+52\\2x-x+52=52\\x+52=52\\x=52-52\\x=0[/tex]

From here we can see the value of x is non-existent.

Substitute x to find Angle HFG.

x+31 = 0 + 31 = 31°

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