Question

If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel? Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Only lines r and s must be parallel. Only lines t and u must be parallel. Lines r and s and lines t and u must be parallel. Neither lines r and s nor lines t and u must be parallel.

Answer 1

C) Lines r and s and lines t and u must be parallel.

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Answer 2

The correct option is C

C) Lines r and s and lines t and u must be parallel

Explanation:

I've attached the figure for this questions below. Consult it for better understanding of the solution.

We have been given 2 conditions that:

• Angle 8 is congruent to angle 10
• Angle 1 is congruent to angle 7

When both the pair of lines that are r,s and t,u are parallel, then the angles <8 and <10 as well as <1 and <7 become opposite angle, which are always equal. Even if one pair of lines is not parallel, these conditions won;t hold true.