Question

prove that if one angle of a triangle is equal to the sum of the other two angles then the
triangle is right angled

Answer 1

The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles. The sum of the three angles of a triangle is 180°. ... The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.


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Answer 2

Answer:

Step-by-step explanation:

Let a triangle be ABC

In which ATQ,

<A+<B+<C=180

<A+(<B+<C)=180

<A+<A=180     (''<B+<C=180)

2<A=180

<A=180/2

<A=90

since, one angle is 90∘ i.e. right angle hence the given triangle is a right angled triangle.