Answer:
105°
Step-by-step explanation:
An angle is created by West First Street and South Main Street. Call this angle <1. m<1 = x, an unknown.
An angle is created by West First Street and North Main Street. Call this angle <2. This angle measures 30° less than <1, so it measures x - 30.
The two angles form a linear pair, so they are supplementary.
The sum of the measures of supplementary angles is 180 deg.
x + x - 30 = 180
2x - 30 = 180
2x = 210
x = 105
m<1 = 105
The angle we are looking for, created by North Main Street and East First Street is vertical to angle 1, so it is congruent to angle 1.
Answer: 105°
