The measure of angle GFH is, ∠GFH = 60° and the measure of angle HGE is, ∠HGE = 90°.
What is rectangle?
A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can alternatively be explained in terms of an equiangular quadrilateral—a term that refers to a quadrilateral whose angles are all equal—or a parallelogram with a right angle. A square is an irregular shape with four equal sides.
The given figure is of rectangle.
Each angle is divide into two angles.
Since each angle of rectangle is a right angle.
So, ∠E = ∠F = ∠G = ∠H.
Given ∠EGF = 60°
∠EGF and ∠GFH are opposite interior angles with having same measure.
Therefore, ∠GFH = 60°.
Now to find ∠HGE.
Since each angle of rectangle is a right angle.
So, ∠HGE = 90°.
Therefore, ∠GFH = 60° and ∠HGE = 90°.
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