ratatata01
Answered

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Sagot :

mathstudent55

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°

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