Question

which angles are supplementary angles?
∠feh and ∠ghe
∠deh and ∠ihe
∠feh and ∠ihj
∠ghj and ∠ghe

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze each option

• For \(\angle FEH\) and \(\angle GHE\): There is no information from the diagram (based on the properties of lines and angles formed) that their sum is \(180^{\circ}\).
• For \(\angle DEH\) and \(\angle IHE\): There is no information from the diagram (based on the properties of lines and angles formed) that their sum is \(180^{\circ}\).
• For \(\angle FEH\) and \(\angle IHJ\): There is no information from the diagram (based on the properties of lines and angles formed) that their sum is \(180^{\circ}\).
• For \(\angle GHJ\) and \(\angle GHE\): Since \(\angle GHJ+\angle GHE = 180^{\circ}\) (they form a linear - pair, as they are adjacent angles and their non - common sides form a straight line).

Answer:

\(\angle GHJ\) and \(\angle GHE\)