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cdef is a kite and m∠fce = 34. find m∠1

Question

cdef is a kite and m∠fce = 34. find m∠1

Explanation:

Step1: Recall kite - property

In a kite, the diagonal that connects the vertices of the non - congruent angles bisects the angles at those vertices.

Step2: Identify the relevant angles

We are given that \(m\angle FCE = 34^{\circ}\) and \(\angle 1\) is part of the angle - bisected by the diagonal \(CE\) in kite \(CDEF\). Since the diagonal \(CE\) bisects \(\angle FCD\), and \(\angle 1\) is the same as \(\angle FCE\).

Answer:

\(m\angle 1=34\)