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 134°. 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?

Answer 1

It is given in the question that,

Hawthorne Lane bisects the angle formed by Melville Road and Emerson Avenue. And the angle formed by Melville Road and Emerson Avenue is 119°.

Therefore angle formed by Melville Road anf Hawthorne Lane equals to angle formed by Hawthorne Lane and Emerson Avenue equals to

half of 119 = 59.5 degree.

And Dickinson Drive bisects the angle formed by Emerson Avenue and Thoreau Street. The measure of the angle formed by Emerson Avenue and Thoreau Street is 134°.

Therefore angle formed by Emerson Avenue and Dickinson drive equals to angle formed by Dickinson drive and Threau Street equals to half of 134 that is 67 each .

Hence the angle formed by Hawthrone Lane and  Dickinson Drive is the sum of 59.5 and 67.That is

$59.5 + 67 = 126.5 degree$