Answer:
1. D ∠4 and ∠5
2. C 37°
3. A 50°
Step-by-step explanation:
1. Complementary angles are those that add up to 90°.
From the diagram you can see that angles 4 and 5 together form right angle, so angles 4 and 5 are complementary.
2. Angles 1 and 4 are vertical angles. Vertical angles have the same measure, so
∠4=∠1=37°
3. From 1,
∠4+∠5=90°
From 2
∠1=∠4
Since ∠1=40°, then ∠4=40°
So,
∠5=90°-40°=50°
