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URGENT PLEASE HELP FAST!!! WILL GIVE BRAINLIEST!!!!



look at the figure below. which of the following statements could be a step in a proof that vertical angles are congruent?

URGENT PLEASE HELP FAST WILL GIVE BRAINLIESTlook at the figure below which of the following statements could be a step in a proof that vertical angles are cong class=

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Answer:

Option d is right

Step-by-step explanation:

Given is a figure showing two straight lines AB and CD intersect at P.

Angle APC is adjacent to CPB

Hence APC +CPB =180

Similarly angle DPB is adjacent to same angle CPB

Thus we have

DPB+CPB = 180

Comparing these two equations, we get

APC = DPB

Option d is right

MrRoyal

Vertical angles have equal measure

The correct statement that proves that vertical angles are congruent is (d)

From the figure, we have the following observations

  • Lines AB and CD intersect at point P
  • Angles APC and CPB are adjacent (because they are next to each other)
  • Angles CPB and DPB are adjacent (because they are next to each other)

The above highlights mean that:

[tex]\mathbf{APC +CPB =180}[/tex]

[tex]\mathbf{DPB +CPB =180}[/tex]

Equate the above expressions

[tex]\mathbf{DPB +CPB =APC + CPB}[/tex]

Subtract CPB from both sides

[tex]\mathbf{DPB=APC }[/tex]

Hence, the correct statement that proves that vertical angles are congruent is (d)  

Read more about vertical angles at:

https://brainly.com/question/24460838

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