Question

In the given figure, BAE =130° , PCA = 110° find the measure of (2)
ABC.

Answer 1

Step-by-step explanation:

ur answer is in attachment

i hope its help ful

Answer 2

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. :)