Question

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°.

Answer 1

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

$360\°$

Answer 2

Answer:

360

Step-by-step explanation: