Question

The figure shows a map of five streets that meet at Concord Circle. The measure of the angle formed by Melville Road and Emerson Avenue is 119°. The measure of the angle formed by Emerson Avenue and Thoreau Street is 135°. Hawthorne Lane bisects the angle formed by Melville Road and Emerson Avenue. Dickinson Drive bisects the angle formed by Emerson Avenue and Thoreau Street. What is the measure of the angle formed by Hawthorne Lane and Dickinson Drive?     The measure of the angle formed by Hawthorne Lane and Dickinson Drive is °.

Answer 1

Alright, lets get started.

Please refer the diagram I have attached.

The angle between Melville Road and Emerson Avenue is 119°.

Hawthorne Lane bisects the angle formed by Melville Road and Emerson Avenue.

So, angle between Hawthorne Lane and Emerson Avenue will be = $\frac{1}{2} * 119 = 59.5$°

Now, angle between Emerson Avenue and Thoreau Street is 135°.

Dickinson Drive bisects the angle formed by Emerson Avenue and Thoreau Street.

So, angle between Dickinson Drive and Emerson Avenue will be = $\frac{1}{2} * 135 = 67.5$°

So, the complete angle between Hawthorne Lane and Dickinson Drive will be = $59.5 + 67.5 = 127$°

So, the answer is 127 °.   :    Answer

Hope it will help :)