Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF Prove: m∠ABC = m∠GHI We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

1. Angle DEF

2. Definition of congruent angles

3. The measure of angle GHI

In order for us to solve this problem, we need to make the units uniform first to make it easier. 1 yard is equivalent to 3 feet. Therefore, one bag can cover 1 yard^2. Since the bed measures 6 and 1/2 feet by 11 feet, the area of this bed is 71.5ft^2. The bag of mulch can cover an area of 9ft^2. Therefore, if we divide 71.5 by 9, then we get 7.9 or 8. So Heather would need 8 bags of mulch to cover the flower bed. Hope this answer helps.