Answer:
The play started at 5:10 PM.
Step-by-step explanation:
We are given the following in the question:
Length of first act = 45 minutes
Length of intermission = 55 minutes
Length of second act = 1 hour and 10 minutes
1 hour = 60 minutes
Thus, length of second act =
The second part ended at 8:00 PM. We have to find the starting time of play.
Starting time of play =
Thus, the play started at 5:10 PM.
Let us prove that angle 1 is complementary to angle 3 step by step.
1. We have been given that angle 1 is complementary to angle 2.
2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary .
3. We have been also given that line segment BD bisects .
4. By the definition of bisect .
5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate .
6.
Upon substituting in above equation we will get,
Therefore, by substitution property of equality .
Hence, proven that angle 1 is complementary to angle 3.