Question

select all the pairs of adjacent angles.
∠ghj and ∠ihj
∠fec and ∠dec
∠ihe and ∠ihj
∠ihe and ∠ghe

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side, and have no interior points in common.

Step2: Analyze ∠GHJ and ∠IHJ

They share vertex H and side HJ, so they are adjacent.

Step3: Analyze ∠FEC and ∠DEC

They share vertex E and side EC, so they are adjacent.

Step4: Analyze ∠IHE and ∠IHJ

They share vertex H and side IH, so they are adjacent.

Step5: Analyze ∠IHE and ∠GHE

They share vertex H and side HE, so they are adjacent.

Answer:

∠GHJ and ∠IHJ, ∠FEC and ∠DEC, ∠IHE and ∠IHJ, ∠IHE and ∠GHE