The greatest number of right angles a triangle can contain is (A) 1.
What is Right angle triangle?
A triangle which have one right angle in it, is said to be Right angled triangle.
According the angle sum property of a triangle, The total sum of three interrior angles of triangle is [tex]180^\circ[/tex].
If one triangle has 2 right angles in it then the sum of that two angles become [tex]180^\circ[/tex] hence the remaining angle is [tex]0^\circ[/tex], which implies that it cannot form triangle or in other words a triangle cannot have 2 or more right angles in it.
So (B), (C) cannot be true.
If one angle of a triangle is right angle then sum of other two angle should be [tex]90^\circ[/tex], which is possible in real.
For example a triangle with angles [tex]90^\circ,65^\circ,25^\circ[/tex].
So the triangle has one right angle and other two acute angles with their sum [tex]90^\circ[/tex].
Since triangle can have one right angle so (D) is not true.
So the greatest number of right angles in a triangle is 1.
Hence the correct option is (A).
Learn more about Right angled triangle here -
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