Given: Parallelogram PQRS P
Q
R
S
with QS⎯⎯⎯⎯⎯
Q
S
¯
drawn as shown
Prove: PQ⎯⎯⎯⎯⎯≅RS⎯⎯⎯⎯⎯, QR⎯⎯⎯⎯⎯≅SP⎯⎯⎯⎯⎯
P
Q
¯
≅
R
S
¯
,

Q
R
¯
≅
S
P
¯

Using the options provided, complete the proof.

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