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Leya [2.2K]
3 years ago
8

Can someone solve this please ;)​

Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent.

In Δ GHJ , GH = GJ thus the triangle is isosceles and the base angles are congruent, thus

∠ J = ∠ H = 67°

∠ T and ∠ H are corresponding and congruent, thus

∠ T = 67°

The sum of the 3 angles in a triangle = 180°, thus

∠ G = 180° - (67 + 67)° = 180° - 134° = 46°

ST and GH are corresponding sides and congruent, thus

ST = 5 cm

HJ and TU are corresponding sides and congruent, thus

HJ = 3.7 cm

Thus

∠ J = 67°, ∠ T = 67°, ∠ G = 46°, ST = 5 cm, HJ = 3.7 cm

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