Question

SU∥RV. Complete the proof that m∠R+m∠V+m∠RSV=180° without using the Triangle Angle Sum Theorem.

Answer 1

EXPLANATION :

2. Since SU is parallel to RV, angle TSU and angle R are congruent by corresponding angles theorem.

4. angle TSV is composed of angles TSU and USV

or the sum of angle TSU and USV is equal to angle TSV by the Additive property of angle measure.

6. angles RSV and TSV have a sum of 180 degrees by angles forming a linear pair sum to 180 degrees.