consider the figure shown below. Match the angles given in the first column with their equivalent degree Measure given in the first row

consider the figure shown below Match the angles given in the first column with their equivalent degree Measure given in the first row class=

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Answer:

∠3 = 115°

∠8 = 75°

∠6 = 105°

∠11 = 115°

∠9 = 65°

∠4 = 65°

Step-by-step explanation:

∠3 = 180 - 65 =115° because they are supplementary

∠8 = 75° because it is vertical to 75°

∠6 = 180 - 75 = 105° because they are supplementary

∠11 = 115° because it is corresponding to ∠3

∠9 = 65° because it is corresponding to ∠1

∠4 = 65° because it is vertical to 65°

Applying the definition of special angle pairs, the given angles and their respective equivalent degree measures are:

  • m<3 = 115°
  • m<8 = 75°
  • m<11 = 115°
  • m<9 = 65°
  • m<4 = 75°

Given the following:

  • m<1 = 65°
  • m<5 = 75°

Thus:

<3 and <1 are supplementary angles, therefore,

m<3 = 180° - 65°

m<3 = 115°

<8 and <5 are vertical angles, therefore,

m<8 = 75°

<6 and <8 are supplementary angles, therefore,

m<6 = 180° - 75°

m<6 = 105°

<11 and <3 are corresponding angles, therefore,

m<11 = 115°

<9 and <1 are corresponding angles, therefore,

m<9 = 65°

<4 and <2 are vertical angles, therefore,

m<4 = 75°

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