In the given figure, BAE =130° , PCA = 110° find the measure of (2)
ABC.
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Step-by-step explanation:
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Answered by
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Answer:
▂▃▅▓▒░☆Answer☆░▒▓▅▃▂
☞☞∠ABC = 60°
Step-by-step explanation:
Given :-
i) ∠BAE =130°
iil ∠PCA = 110°
To Find :-
∠ABC
Solution :-
In the given figure,
i)∠ BAE + ∠BAC = 180° ... (Angles in a linear pair)
130° + ∠BAC = 180°
∠BAC = 180°-130°
∠BAC = 50°
ii) Similarly,
∠ACP +∠ ACB = 180° ...(Angles in a linear pair)
110° +∠ACB = 180°
∠ACB = 180°-110°
∠ACB = 70°
iii)
Now,
In ΔABC,
∠ABC + ∠BAC +∠ACB = 180°
... (Sum of all angles of a triangle is 180°)
∠ABC + 50° + 70° =180°
∠ABC + 120° =180°
∠ABC = 180°-120°
∠ABC = 60°
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I hope you understood this. :)
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