Question

in the diagram, point h is the in - center, measure angle eac is 62 and measure of angle aec is 74. find the measure of kah.

Explanation:

Step1: Recall the property of in - center

The in - center is the point of intersection of the angle bisectors of a triangle. Since \(H\) is the in - center, \(AH\) is the angle bisector of \(\angle EAC\).

Step2: Calculate \(\angle KAH\)

Given \(\angle EAC = 62^{\circ}\), and \(AH\) bisects \(\angle EAC\), then \(\angle KAH=\frac{1}{2}\angle EAC\). So \(\angle KAH=\frac{62^{\circ}}{2}=31^{\circ}\).

Answer:

\(31^{\circ}\)