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Explanation:
In ABC if B=90 then A+B=90
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Answer :-
Given :-
▪️One angle of a triangle is equal to the sum of the other two.
◾Property used to prove :-
▪️Sum of all angles in a triangle = 180°
Proof :-
Let the angle be = "x"
And other angles be = "a" & "b"
◾So according to situation provided :-
a + b = x ....(i)
◾Also from Angle sum property of Triangle .
a + b + x = 180° ......(ii)
◾Now by substiting value of (i) in (ii)
→ x + x = 180°
→ 2x = 180°
→ x = 90°
Now from the definition of right angle Triangle :-
A triangle with one angle = 90° is a right angle triangle.
Hence Proved
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