Question

Please solve these quick things.

Answer 1

1. EC = 4.5 (Equal sides of a parallelogram; AP = EC)

2. EP = 7 (Equal sides of a parallelogram; AC = EP)

3. mCEP = 109 = mPAC (Opposite angles of a parallelogram are equal)

4. PR = CR = 4.75 (Diagonals bisect each other)

5. RE = AR = 3.5 (Diagonals bisect each other)

6. CP = 4.75 + 4.75 = 9.5

7. mEPA = 180 - 109 = 71 (Adjacent angles are supplementary)

8. mECA = mEPA = 71 (Opposite angles of a parallelogram are equal)

Answer 2

Explanation:

In parallelogram, opposite sides are congruent.

1) EC = PA

EC = 4.5

2) EP = CA

EP = 7

3. In parallelogram, opposite angles are congruent.

∠CEP = ∠PAC

m∠CEP = 109

4. In parallelogram, diagonals bisect each other.

PR = CR = 4.75

5) RE = AE = 3.5

6)CP = CR + PR = 4.75 + 4.75 = 9.5

7)Adjacent angles are supplementary

m∠EPA + m∠PAC = 180

m∠EPA + 109 = 180

m∠EPA = 180 - 109

∠EPA = 71

8) m∠ECA = ∠EPA

m∠ECA = 71