if one angle of a triangle is equal to the sum of the other two show that the triangle is right angle
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Given :-
• One angle = Sum of other two angles
To prove :-
• It is a right angled triangle.
Solution :-
Let
1st angle = /_A
2nd angle = /_B
3rd angle = /_C
-------------------------
/_A+/_B = /_C --Given
-------------------------
We know that,
》/_A+/_B+/_C = 180°
》/_C+(/_A+/_B) = 180°
》/_C+/_C = 180°
》2/_C = 180°
》/_C = 180/2
》/_C = 90°
--------------------------
/_C = 90°. Therefore, the triangle is a right angled.
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