14. If one angle of a triangle is equal to the sum of the other two angles, then the triangle is *
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if one angle of a triangle is equal to the sum of the other two angles, then show that triangle is right angled.
ANSWER
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
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