Question

25 POINTS!!!!!

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

Answer 1

180-92=88 the answer is 88 because a line is equal to 180 degrees and you got one angle equaling 92 degrees so you just subtract 180 minus 92, getting you angle 8 to be 88 degrees

Answer 2

∠8 measures 88 degrees.

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.