Questions: In the diagram below, m∠CIH=99° and m∠BGD=34°. Find m∠FHG.

In the diagram below, m∠CIH=99° and m∠BGD=34°. Find m∠FHG.
Transcript text: In the diagram below, $\mathrm{m} \angle C I H=99^{\circ}$ and $\mathrm{m} \angle B G D=34^{\circ}$. Find $\mathrm{m} \angle F H G$.
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Solution

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Solution Steps

Step 1: Identify Given Angles

We are given:

  • \( m \angle CIH = 99^\circ \)
  • \( m \angle BGD = 34^\circ \)
Step 2: Identify Vertical Angles

Since \( \angle CIH \) and \( \angle FHG \) are vertical angles, they are equal. Therefore: \[ m \angle FHG = m \angle CIH = 99^\circ \]

Final Answer

\[ m \angle FHG = 99^\circ \]

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