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draw a triangle & its exterior angle on one side and name he exterior angle as4 and interior opp. angle as 1 and 2 and name the third angle as 3 now we know exterior angle is equal to the sum of interior opp. angle so,angle1+angle2=angle 4 we also know angle3+angle4=180(linear pair) NOW from this 2 equation angle1+angle2+angle3=180

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Q: How do you prove angle sum property of a triangle?
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What is angle sum property of a triangle?

The sum of the three interior angles of a triangle is always 180 degree is known as angle sum property of a triangle.


Who discovered angle sum property of a triangle?

pythogoras


Who proved the angle sum property of a triangle?

Euclid and Pythagoras.


Show an example of a triangle with an obtuse angle and a right angle?

This is not possible. If a triangle is a Right angled triangle then the sum of the two angles which are not right will be = 90 [Angle Sum Property] That's why you see.


Relations among the angles of a triangle?

In a triangle, the sum of the angles is always 180 degrees. This is known as the angle sum property of triangles. Additionally, the largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.


Exterior angle property of a triangle?

measure of exterior angle of triangle is equal to sum of interior angles. for eg. In triangle ABC, angle C is exterior angle angle A and angle B are interior angles so, C=A+B


Give a brief note on angle sum property of triangle?

Irrespective of the size or shape of the triangle, its angles total 180o.


Prove that sum of exterior angle of a triangle is 360 degree?

because INTERIOR ANGLE 180 AND the exterior angle 180 so 180+180=360


Prove that the sum of the measures of the three angles of every triangle is 180 degrees?

Angle a plus angle b subtract from 180 equals angle c


How do you prove the pythagorean theorem?

For any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.


How do you make Model on sum angle property of quadrilateral?

first we draw a triangle than we mark3angle of triangle. now think that which no. comes in all 3 angle of triangle that equals to 180 degrees because the sum of 3angles are 180 degr ees.


How do you prove triangle only one obtuse angle?

Sum of angles of triangle = 180o: minimum size of obtuse angle is greater than 90o; It is not possible to have two angles of a triangle which total more than 180o.