Question

Select the correct answer from each drop-down menu. a student is given and the diagram and asked to prove . given: prove: two lines or and os intersect at o. another line qt passes through the point o, which makes the angle 56 degrees on sot. here is the student's proof. given 1. angle qos congruent angle tor pointing, 2. m angle qos equals m angle rot pointing, 3. m angle qor plus m angle ros equals m angle tos plus m angle ros pointing, 4. m angle qor equals m angle tos pointing, 5. m angle tos equals 56

Answer 1

The given diagram and statements show that two lines intersect at a point, and another line forms a specific angle at that point. The student's proof uses the Angle Addition Postulate to show that two angles are congruent. Therefore, the student has successfully proven the given statement.

Step-by-step explanation:

The given information states that two lines, OS and OT, intersect at O. Another line, QT, passes through point O and forms an angle of 56 degrees on SOT. The student's proof makes use of the Angle Addition Postulate, which states that the sum of two adjacent angles is equal to the angle formed by extending one of the lines. By applying this postulate, the student correctly proves that angle QOR is congruent to angle TOS, providing sufficient evidence to support the given statement.

Learn more about Angle Addition Postulate