2. Find the missing side length. Round answers to the nearest tenth. 13 29° Х
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A quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of the ∠GFH is 16°.
<h3>What is a parallelogram?</h3>A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram and a rhombus opposite sides are parallel, therefore, the sides that are parallel are,
AB║DC║ED║FG
Since the sides are parallel,
∠ABC = ∠FGH = 126°
Also, ∠AHC and ∠GHF lie on the same line, therefore,
∠AHC + ∠GHF = 180°
∠GHF = 180° - 142° = 38°
Now, in ΔGHF
∠GHF + ∠HFG + ∠GFH = 180°
∠GFH = 180° - 126° - 38°
∠GFH = 16°
Hence, the measure of the ∠GFH is 16°.
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