Answer:
1-C, 2-E, 3-B, 4-D, 5-A
Step-by-step explanation:
Firstly, from the figure, it is shown that line RS is parallel to the line segment AB and ∠1=∠2. Therefore, 1 matches with C.
Now, from the definition of parallel lines, the corresponding angles are always equal, therefore ∠B=∠1. Therefore, 2 matches with E.
Since, we are given that the lines are parallel, therefore by property of parallel lines, alternate angles are always equal. Therefore, ∠A=∠2. Hence, 3 matches with B.
Now, we know that ∠B=∠1 and ∠A=∠2, also that ∠1=∠2, therefore from these equations, ∠A=∠B. Hence, 4 matches with D.
If two angles of the triangle are equal that is ∠A=∠B, then the sides opposite to equal angles are always equal, therefore, RA=RB. Hence, 5 matches with A.
