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Q: What is the Exterior Angle Theorem for a Triangle?

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triangle sum theorem

the exterior angle theorem

It is: 180-interior angle = exterior angle

Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.

When any side of triangle is extended outwards then exterior angle is formed. Sum of this exterior angle and adjacent interior angle = 180o. If exterior angle = 180o(straight angle) then interior adjacent angle is 0o which is not possible. So exterior angle can't be straight angle.

Related questions

exterior angle theorem

triangle sum theorem

Yes, all plane triangle.

the exterior angle theorem

Such is called an exterior angle. A useful theorem is that an exterior angle is equal to the sum of its non adjacent interior angles.

The measure of an exterior angle of a triangle is more than the measure of the intersection of two straight lines.

It is: 180-interior angle = exterior angle

It is: 180-interior angle = exterior angle

180 minus interior angle = exterior angle

It is: 180-interior angle = exterior angle

No, it does not.

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

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