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e-lub [12.9K]
4 years ago
10

Is it possible to show that angle G is congruent to angle K

Mathematics
2 answers:
balu736 [363]4 years ago
8 0

Answer:

Yes , it is possible that  ∠ G is congruent to ∠ K .

Step-by-step explanation:

As

In ΔIKH and ΔIGJ .

(1) IJ = IH (Given)

(2)∠KIH = ∠GIJ (Common angle of both triangles.)

(3) IK=IG

(As given IJ = IH , JK = HG

IJ + JK = IH + HG

IK = IG )

Thus by using SAS congurence property .

ΔIKH ≅ ΔIGJ

Thus

∠G = ∠K

(By using the corresponding sides of the congurent triangles .)

Thus ∠G = ∠K


HACTEHA [7]4 years ago
4 0
Angle g and k are congruent because angle HG is congruent to JK as you can tell with the two red marks
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