Question

Jones Street is parallel to Lincoln Street, and both streets are intersected by Elm Street and Avenue A. Jones Street J 105° m Elm Street Avenue A E 32° Lincoln Street What is the measure of Z JEA, the angle formed by the intersection of Elm Street and Avenue A? O 137 O 75° O 73° 0 43° O

Answer 1

We have:

Alternate angles are equal in measure, therefore:

`\angle E=105^(\circ)`

Then, The angles E, JEA and 32° add up to 180° because they form a straight angle. So:

`\begin{gathered} 105+\angle JEA+32=180 \\ 137+\angle JEA=180 \\ 137+\angle JEA-137=180-137 \\ \angle JEA=43 \end{gathered}`

Answer: 43°