Question

Help

a) The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point)
b) What is the measure of ∠E? Explain how you know. (1 point)
c) Describe the relationship between ∠E and ∠K. What is the measure of ∠K? (1 point)
d) What is the measure of ∠H? Explain. (1 point)
e) What is the measure of ∠I? Explain. (1 point)
f) Describe the relationship between ∠H and ∠L. (1 point)

Answer 1

a) Measure of Angle L is 67.5. Angle F & Angle L are alternate interior angles.

b) Measure of Angle E is 112.5, because we know that F and H are vertical angles, so therefore they’re congruent. We also know H and E are adjacent, so H + E = 180.

c) Angles E and K are alternate exterior angles. Measure of Angle K is 112.5.

d) Measure of Angle H is 67.5, because we know that Angle F, which is vertical to Angle H, is 67.5. Vertical angles are congruent.

e) Measure of Angle I is 112.5, because Angle I and Angle K are vertical angles.

f) They’re corresponding angles.