Question

question 20 b03 - 07 lesson practice (scrm26 a3) use a model lines a and b are parallel and are cut by transversal t to form interior angles ∠7, ∠8, ∠9, and ∠10.∠7 and ∠8 are consecutive interior angles, and m∠7 = 94°. ∠8 and ∠10 are alternate interior angles. find the measure of ∠8.

Explanation:

Step1: Recall angle - relationship property

Consecutive interior angles between parallel lines are supplementary. That is, if two parallel lines are cut by a transversal, the sum of consecutive interior angles is 180°.
Since ∠7 and ∠8 are consecutive interior angles and m∠7 = 94°, we have the equation m∠7+m∠8 = 180°.

Step2: Solve for m∠8

Substitute m∠7 = 94° into the equation 94°+m∠8 = 180°.
m∠8=180° - 94°
m∠8 = 86°

Answer:

86°