Question

if The sum of any two angles of a triangle is 90°,then the third angle Will be _​

Answer 1

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Answer 2

Answer: AnswEr:-

❀ Your answer is 90° And it is a right angled triangle.

ExplanaTion:-

Given:-

Sum of two angles of a triangle is 90°.

To Find:-

The measure of third angle.

Let the three angles of the triangle be x, y and z and the angle which we have to find is x.

Concept Used:-

Angle Sum Property Of a Triangle:- Sum of all interior angles of a triangle is always equal to 180°.

Now,

Here measure of two angles is 90° and the third angle is x which we have to find.

Therefore,

↦ x + y + z = 180°.

↦ x + 90° = 180°.

[As sum of two angles is 90°].

↦ x = 180° - 90°.

↦ x = 90°.

Now we have to find out the type of triangle it is:-

So above we have find out the value of third angle which is 90°.

Therefore it is a right angled triangle because we know that if any one angle of a trianlge would be 90° then it is called as right angled triangle and here also measure of one angle (x) is 90° hence it is a right angled triangle.