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Find the measurement of ∠D and ∠C

Find The Measurement Of D And C class=

Sagot :

Answer:

∠D = 125° and ∠C = 55°

Step-by-step explanation:

We should first solve for variable x, which should give us angle C, and then solve for angle D.

  • [tex]3x+15=180[/tex]
  • [tex]3x=165[/tex]
  • [tex]x=55[/tex]°

Thus ∠C = 55°

Knowing that supplementary angles add to 180°, we set up the equation:

  • [tex]55+D=180[/tex]
  • [tex]D=125[/tex]°

Thus ∠D = 125°