Question

if pine street is parallel to locust street, find the vales of a and b.
3
103°
pine st
main st
locust st
a°
b°
a=

b=

Explanation:

Step1: Use the property of corresponding angles

Since Pine Street is parallel to Locust Street and Main Street is a transversal, \(a\) and \(103^{\circ}\) are corresponding angles. Corresponding angles are equal. So \(a = 103^{\circ}\).

Step2: Use the property of supplementary angles

\(b\) and \(103^{\circ}\) are supplementary angles (they form a linear - pair). The sum of supplementary angles is \(180^{\circ}\). So \(b=180 - 103\).

$$b = 77^{\circ}$$

Answer:

\(a = 103\)
\(b = 77\)