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°.
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
\(360\°\)