Question

if one angle of a triangle is equal to the sum of the other two, show that the triangle is right angled​

Answer 1

Answer:

Let one angle be X.

Therefore the sum of the other two angles will also be X

Now,

1st angle+2nd angle +3rd angle =180°[ angle sum property of a triangle ]

=> X + X=180°

=> 2X= 180°

=> X = 90°

Now,

Since one angle of a triangle is 90°

Therefore the triangle is right angled.

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Answer 2

Answer:

Click here to get an answer to your question ✍️ 18. Prove that if one angle of a triangle is equal to the sum of other two angles the triangle is right angled.