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

360

Explanation:

Answer 2

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\°`