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Sh1erd2odLuciethet
Sh1erd2odLuciethet Sh1erd2odLuciethet
  • 04-08-2016
  • Mathematics
Answered

When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?. . A.. 180°. B.. 270°. C.. 360°. D.. 540°.

Verified Answer :

calculista
calculista calculista
  • 14-11-2018

see the attached figure to better understand the problem

In the figure

Angle A and Angle B are vertical angles

so

∠A=∠B

Angle C and Angle D are vertical angles

so

∠C=∠D

Angle A and Angle C are supplementary angles

so

∠A+∠C=\(180\°\)

Angle D and Angle B are supplementary angles

so

∠D+∠B=\(180\°\)

therefore

∠A+∠C+∠D+∠B=\(360\°\)

the answer is the option C

\(360\°\)

View image calculista
Answer Link
nmccallion nmccallion
  • 29-06-2022

Answer:

360

Step-by-step explanation:

Answer Link

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