19 in the given figure, find x + y + z.
.
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Answers
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Answer:
plzz give the figure
Step-by-step explanation:
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REF. Image.
Given :- ∠FAE=70
∘
∠ACD=110
∘
vertically opposites angles are equal.
∴∠x=∠FAE
⇒∠x=70
∘
BCD has a straight line.
∴∠ACB+∠ACD=180
∘
∠z+110
∘
=180
∘
∠z=180
∘
−110
∘
∴∠z=70
∘
In Δ ABC,
∠x+∠y+∠z=180
∘
⇒70
∘
+∠y+70
∘
=180
∘
⇒∠y+140
∘
=180
∘
⇒∠y=180
∘
−140
∘
⇒∠y=40
∘
Given :- ∠FAE=70
∘
∠ACD=110
∘
vertically opposites angles are equal.
∴∠x=∠FAE
⇒∠x=70
∘
BCD has a straight line.
∴∠ACB+∠ACD=180
∘
∠z+110
∘
=180
∘
∠z=180
∘
−110
∘
∴∠z=70
∘
In Δ ABC,
∠x+∠y+∠z=180
∘
⇒70
∘
+∠y+70
∘
=180
∘
⇒∠y+140
∘
=180
∘
⇒∠y=180
∘
−140
∘
⇒∠y=40
∘
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