If one angle of a triangle is equal to the sum of other two, show that the triangle is a right triangle
please explain step by step
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Answer:
Step-by-step explanation:A=B+C⇒A+A=A+B+C=180∘⇒2A=180∘=A=90∘
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Suppose there is a triangle ABC
In △ABC,
∠A=∠B+∠C
Now, sum of angles = 180°
☞∠A+∠B+∠C=180°
☞∠A+∠A=180°
☞∠A=90 ∘
Thus, △ABC, is a right angled triangle.
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