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Q.

In ΔABC, if A +  B = 125° and A +  C = 113°, then what is the value of A ?

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a

62.5°

b

63° 

c

58°

d

56.5°

answer is C.

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Detailed Solution

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Given, In ΔABC, if A +  B = 125° and A +  C = 113°.
The addition of all angles in a triangle is 180°.
A +  B + C = 180°
125° + C = 180°
C = 180° - 125°
C = 55°
A +  C = 113°
A + 55° = 113°
A = 113° - 55°
A = 58°
So, the value of A is 58°.
Hence, option 3 is correct.

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