ans me please
please
Answers
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Given
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- AB || HF
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- DE || FG
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- ∠HFC = 30°
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- ∠EDB = 60°
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To Find
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- ∠FDE
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Solution
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∠HFC = ∠ADF = 30° [ Corresponding Angle ]
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➨∠ADF + ∠FDE + ∠EDB = 180° [ Straight angle ]
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➨ 30° + ∠FDE + 60° = 180°
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➨ ∠FDE + 90° = 180°
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➨ ∠FDE = 180° - 90°
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➨ ∠FDE = 90°
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Therefore, ∠FDE = 90°
Answer:
Angle CFA and angle FDA are alternate angles so,
angle CFA = 30°...........( Given)
therefore angle CFA = angle FDA.....( alternate angles)
therefore,
angle FDA = 30°
Now,
On the straight line there is point D which is equal to 180° means Supplementary angle. But we can see here that there are 3 angles, by calculating it we can find the angle FDE, let's start,
let the angle FDE be x
angle FDA + angle FDE + angle EDB = 180°
30° + x° + 60° = 180°
x+ 90° = 180°
x= 180° – 90°
x = 90°
therefore,
angle FDE = x = 90°
Hope this will help!!! you