25 ! in the figure below, lines m and n are parallel: two parallel lines are shown crossed by a transversal. the angles are labeled with number 1-8. the angles on line m where the line is crossed by the transversal are 1, 2, 3, and 4 in clockwise order from top left. the angles on line n where the line is crossed by the transversal are 5, 6, 7, and 8 in clockwise order from top left. in the diagram shown, ∠7 measures 92 degrees. what is the measure of ∠8? 8 degrees 88 degrees 92 degrees 180 degrees

∠8 measures 88 degrees.        

Step-by-step explanation:

Given the two parallel lines cut by transversal.

Angles 1 to 8 are labelled in diagram as shown in attachment.

∠7 measures 92 degrees.

As n is a straight line therefore

∠7 and ∠8 forms a linear pair.

⇒ ∠7 and ∠8 are supplementary therefore adds up to 180°

∠7+∠8=180°

92°+∠8=180°

∠8=180°-92°=88°

Hence, ∠8 measures 88 degrees.

Option 2 is correct.

t= half of the arc subtended by t.

r= half of the arc subtended by r.  

t+r= half of the arc subtended by t + half of the arc subtended by r= half of 360=180

step-by-step explanation: