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Q.

A triangle can have


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a

one right angle

b

two right angles

c

three obtuse angles

d

none of these 

answer is A.

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Detailed Solution

It is given that there is a triangle.
Question ImageWe know that a right angled triangle is a type of a triangle where one angle is the right angle.
Also, we know, by angle sum property, sum of angles of a triangle =180o.
Let A, B and C are the three angles of the triangle.
If two angles are right angles in a triangle, then according to angle sum property, third angle is,
A+B+C= 180o
90o+90o+C= 180o
C= 0o
This is not possible for a triangle.  So, the other two angles have to be acute angles.
As, A+B+C= 180o.
Also it is given that one of the angle is right angle,
Therefore,  A = 90o
90o+B+C=180o
B+C=90o.
 Therefore, option 1) is the correct answer.
 
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