Question

find all the angles
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Answer 1

Answer:

x=120°

y=30°

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Answer 2

Answer:

• x = 120°
• y  = 30°

Step-by-step explanation:

∠ GKH +  ∠ GKL = 180°  (linear pair)

x + 60°  = 180°

x = 180 - 60

x = 120°

Also

∠ FGK +  ∠ KGH = 180° (linear pair)

150° + ∠ KGH  = 180°

∠ KGH= 180 -150

∠ KGH = 30°

Now In ΔHGK

∠GKH + ∠ KGH  + ∠KHG =180°

120°  + 30° + y =180°

150° + y =180°

y =180° - 150 = 30°