In a triangle, the sum of the interior angles is always 180°. Since ΔFGH has two equal sides, it is an isosceles triangle, meaning that the two base angles are equal.

Given that m∠F = 54°, and the other two angles (m∠G and m∠H) are equal, we can solve for the remaining angles:

1. Let m∠G = m∠H.
2. The sum of the angles is 180°, so: $54° + 2 \times m∠G = 180°$ $2 \times m∠G = 180° - 54°$ $2 \times m∠G = 126°$ $m∠G = 63°$

Thus, m∠G = 63° and m∠H = 63°.

Final Answer:

• m∠G = 63°
• m∠H = 63°

Would you like further details or have any questions?

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Here are 5 related questions:

1. How do you prove that the sum of angles in a triangle is always 180°?
2. What are the properties of an isosceles triangle?
3. Can a triangle have more than one obtuse angle?
4. How do you calculate the angles in an equilateral triangle?
5. What is the difference between an isosceles and a scalene triangle?

Tip: In an isosceles triangle, the angles opposite the equal sides are always equal.