Need help with this anyone please

Option B: 1

Option C: 6

Solution:

Let us first define the vertical angle theorem:

Vertical angle theorem:

If two lines are intersecting each other, then the vertically opposite angles are congruent.

To find angle 7 is equal to which angle:

Angle 1 and angle 7 are vertically opposite angles.

Therefore by vertical angle theorem, angle 7 = angle 1

Option B is the correct answer.

To find angle 4 is equal to which angle:

Angle 4 and angle 6 are vertically opposite angles.

Therefore by vertical angle theorem, angle 4 = angle 6

Option C is the correct answer.

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