The measure of the angle formed by Melville Road and Thoreau Street is 126°
How to find the measure of the angle
To find the measure of the angle formed by Melville Road and Thoreau Street, consider the angles formed by the streets mentioned:
Angle between Melville Road and Emerson Avenue = 118°
Angle between Emerson Avenue and Thoreau Street = 134°
Hawthorne Lane bisects the angle formed by Melville Road and Emerson Avenue, meaning it divides this angle into two equal parts.
Therefore, the angle between Melville Road and Hawthorne Lane is
118°/2 =59°.
Similarly, Dickinson Drive bisects the angle formed by Emerson Avenue and Thoreau Street, making the angle between Emerson Avenue and Dickinson Drive
134°/2 =67°.
The angle formed by Melville Road and Thoreau Street is the sum of the angles at these intersections:
Angle at Melville Road and Thoreau Street =Angle at Hawthorne Lane + Angle at Dickinson Drive
=59° + 67° =126°
Therefore, the measure of the angle formed by Melville Road and Thoreau Street is 126°
.