Question 1:
∠KLM = 134°
∠KLN + ∠NLM = 134
47 + 16y = 134
16y = 134 - 47 = 87
16y = 87
y = [tex] \frac{87}{16} [/tex] = 5.4375° ≈ 5.44°
Question 2:
∠ Between Melville Road and Emerson Avenue = 118°
Given, Hawthorne Lane bisects the angle between Melville Road and Emerson Avenue.
Hence, ∠ between Hawthorne Lane and Emerson Avenue = [tex] \frac{118}{2} [/tex] = 59°
∠ Between Emerson Avenue and Thoreau Street = 135°
Given, Dickinson Drive bisects the angle between Emerson Avenue and Thoreau Street.
Hence, ∠ between Emerson Avenue and Dickinson Drive = [tex] \frac{135}{2} [/tex] = 67.5°
Hence, ∠ between Hawthorne Lane and Dickinson Drive = 59 + 67.5 = 126.5°