Question

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? (4 points)

a
8 degrees

b
88 degrees

c
92 degrees

d
180 degrees

Answer 1

Answer:

b 88 degrees

Step-by-step explanation:

since angle 7 and 8 form linear pair their sum is 180 degrees

so angle 8 =180-92=88

Answer 2

Option (b) is the correct answer.
∠8 = 88°

Given:

• Two parallel lines m and n.
• A transversal crossing the parallel lines.
• ∠7 = 92°

To find: ∠8

Step by step explanation:

m and n are parallel lines and a transversal crossing them.
∠7 = ∠6                   (Vertically opposite angles)
∠6 = 92°
Now, we know that angle formed by a straight line is always equal to 180°.
⇒ ∠6 + ∠8 = 180°         (angle formed by a straight line)
⇒ ∠8 = 180° - ∠6
⇒ ∠8 = 180° - 92°
⇒ ∠8 = 88°

∴ ∠8 = 88°
Option (b) is the correct option.

#SPJ2