Question

in triangle abc in triangle abc if angle A + angle b is equal to 125 degrees and Angle A + angle C is equal to 113 degrees and find Angle A Angle B and angle C ​

Answer 1

Given,
/_A + /_B = 125°
/_A + /_C = 113°
Now,
The angle sum property of triangle,
/_A + /_B + /_C = 180°
125 + /_C = 180
/_C = 180 - 125
/_C = 55°
And,
/_A + /_B + /_C = 180°
/_B + 113 = 180
/_B = 180 - 113
/_B = 67°
Again,
/_A + /_B + /_C = 180°
/_A + 67 + 55 = 180
/_A + 122 = 180
/_A = 180 - 122
/_A = 58°
Hence,
/_A = 58°
/_B = 67°
/_C = 55°


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