Question

find ( mangle jfh ). explain your reasoning.

( mangle jfh=square^{circ} )

the answer can be found by using the

Explanation:

Step1: Analyze the given information

We have two right - angled triangles \( \triangle JFG\) and \( \triangle JFH\). The hypotenuse \(JF\) is common to both triangles, and the legs \(JG = JH=9\).

Step2: Apply the Hypotenuse - Leg (HL) Congruence Theorem

Since \( \triangle JFG\cong\triangle JFH\) (by HL theorem: in right - angled triangles, if the hypotenuse and one leg are equal, the triangles are congruent), then \( \angle JFG=\angle JFH\).

Step3: Calculate \(m\angle JFH\)

Given \(m\angle JFG = 47^{\circ}\), and because \( \angle JFG=\angle JFH\), so \(m\angle JFH = 47^{\circ}\)

Answer:

\(47\)