In the diagram, ΔGHJ ≅ ΔSTU.

Mathematics

2 answers:

valina [46]3 years ago

6 0

Answer:

m∠J = 67°

m∠T = 67°

m∠G =46°

ST = 5cm

HJ = 3.7cm

Step-by-step explanation:

Given

ΔGHJ ≅ ΔSTU

GH = 5 cm = GJ
m∠GHJ = 67°

=> m∠J = 67° ( that is the property of isosceles triangle because GH = GJ

=> m∠G = 180° - m∠H - m∠J = 180° - 67° - 67° = 46°

Because ΔGHJ ≅ ΔSTU

=> GH = GJ = ST =SU

=> ST = 5 cm

Because ΔGHJ ≅ ΔSTU and GH = GJ = ST =SU

=> TU = HJ = 3.7 cm

=> m∠T = m∠H = 67°

So:

m∠J = 67°

m∠T = 67°

m∠G =46°

ST = 5cm

HJ = 3.7cm

topjm [15]3 years ago

6 0

Answer:

3.7

Step-by-step explanation:

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