Question

Oak Street and Elm Street run parallel to each other. When Main Street interest them, it forms interior angle 4, and measuring 35 degrees. What is the measure of angle 7 ?

Answer 1

∠4 and ∠8 are corresponding angles

∠8 and ∠7 are supplementary angles

Then, ∠4 and ∠7 are supplementary angles. This means that

∠4 + ∠7 = 180°

35° + ∠7 = 180°

∠7 = 180° - 35°

∠7 = 145°