In triangle ABC , if angle a + angle b =125 degree and angle a +angle c =113 degree find angle a , b and c
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5
Answer:
∠A = 58° ∠B = 67° ∠C = 55°
Step-by-step explanation:
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° ⇒ANSWER
∠B = 67° ⇒ANSWER
∠C = 55° ⇒ANSWER
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Done
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