Lines r and s are cut by transversal t. Angle 3 is inside on the right of t, angle 5 is inside on the left of t, and the angles are congruent. What conclusion is justified?

In a diagram, lines a and b are cut by transversal c. Angle 2 is above a on the right of c, angle 6 is above b on the right of c, and both measure 118 degrees. What conclusion follows?

Lines m and n are crossed by transversal p. Angle 1 is outside above m on the left of p, angle 7 is outside below n on the right of p, and the angles are congruent. What conclusion is justified?

Transversal n cuts lines p and q. Angle 4 is below p on the left of n, and angle 8 is below q on the left of n. The angles are congruent. What conclusion is justified?

Lines e and f are cut by transversal g. Angle 4 is inside on the left of g, angle 6 is inside on the right of g, and each measures 64 degrees. What conclusion is justified?

A proof shows lines u and v cut by transversal w. Angle 2 is exterior on the right of w, angle 8 is exterior on the left of w, and the angles are congruent. What theorem proves u and v parallel?

Lines h and k are crossed by transversal j. Angle 3 is below h on the right of j, angle 7 is below k on the right of j, and the two angles are congruent. What conclusion is justified?

Two lines x and y are cut by transversal z. The interior angle above y on the left of z and the interior angle below x on the right of z both measure 82 degrees. What conclusion follows?

A diagram has lines d and e cut by transversal f. Angle 1 is above d on the left of f, angle 5 is above e on the left of f, and the two angles are congruent. What conclusion is justified?

Lines b and c are crossed by transversal a. The exterior angle above b on the left of a and the exterior angle below c on the right of a are congruent. What conclusion is justified?

Lines c and d are cut by transversal e. Angle 3 and angle 6 are interior angles on the same side of e, with measures 112 degrees and 68 degrees. What conclusion is justified?

Transversal l cuts lines j and k. Angle 4 and angle 5 are inside the two lines on the left of l, and their measures are 73 degrees and 107 degrees. What conclusion follows?

Lines l and m are crossed by transversal t. Two interior angles on the left side of t measure 89 degrees and 91 degrees. What conclusion is justified?

In a proof, lines m and n are cut by a transversal. Angle 3 and angle 6 are same-side interior angles measuring 125 degrees and 55 degrees. What conclusion is justified?

Lines a and n are cut by transversal b. Angle 4 and angle 5 lie between the lines on the same side of b, and their measures add to 180 degrees. What conclusion is justified?

At the left side of transversal v, an interior angle on line q and an interior angle on line r are supplementary. What should a proof conclude?

A student says angles 4 and 5 add to 180 degrees, so lines g and h are parallel by alternate interior angles. The angles are interior on the same side of the transversal. What is the correction?

Transversal y cuts lines x and z. Angle 3 lies below x on the right of y and measures 148 degrees, and angle 6 lies above z on the right of y and measures 32 degrees. What conclusion is justified?

Lines a and b are cut by transversal t. Angle 1 and angle 3 are congruent vertical angles at the same intersection. What conclusion about a and b is justified?

Transversal c crosses lines d and e. At the upper intersection, angle 2 measures 125 degrees and angle 3 measures 55 degrees, forming a linear pair. What conclusion is justified?

Lines m and n are cut by transversal p. Angle 4 is interior below m on the left of p, and angle 7 is exterior below n on the right of p. The angles are congruent. What conclusion is justified?

Lines r and s are crossed by transversal u. Angle 5 and angle 6 at the lower intersection measure 92 degrees and 88 degrees, so they are supplementary. What conclusion is justified?

Lines h and j are cut by transversal k. Angle 2 is exterior above h on the right of k, and angle 5 is interior above j on the left of k. Each measures 115 degrees. What conclusion is justified?

Lines w and z are cut by transversal y. Angle 1 and angle 5 are corresponding angles, but their measures are 110 degrees and 70 degrees. What conclusion is justified?