**Write an inequality relating the given pair of angle measures**

**Step By Step Solution:**

Since **AB=AD**, the corresponding sides are congruent:

\overline{AB}\cong{\overline{AD}}

The segment** AC** is common to both** triangle ACB** and **triangle ACD** and, by the **Reflexive Congruence Property**, it follows:

\textcolor{primary}{\overline{AC}}\cong\textcolor{primary}{\overline{AC}}

**Note :**Here Reflexive Congruence Property means line AC is congruent to itself

Since, **BC> CD** from the **Converse of the Hinge Theorem**, for the sides opposite the included angles it follows:

\textcolor{primary}{m\angle CAB}\gt \textcolor{secondary}{m\angle CAD}

Substitute the value of

\textcolor{primary}{m\angle CAB}=\textcolor{primary}{m\angle 1}, \textcolor{secondary}{m\angle CAD} ={m}{\angle 2}

into the above expression, then we get:

\textcolor{primary}{m~\angle 1}\gt \textcolor{secondary}{m~\angle 2}

**Required Solution:**

The required answer is

{{~m}~\angle 1}>{m}{{~\angle 2}}.

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