Acentral angle θ in a circle of radius 5 m is subtended by an arc of length 6 m.

θ=1.2 rad=68.7549°

Step-by-step explanation:

Given

⇒

θ

Therefore θ=1.2 rad

(π rad= 180°)

Therefore 1.2 rad= 68.7549°

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

step-by-step explanation:

classify each pair of angles as alternate interior, same-side interior, or corresponding angles.