Q: Why does it not matter which side of a triangle is extended to form an exterior angle?

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It is: 180-interior angle = exterior angle

At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle.

Interior angle+exterior angle = 180 degrees

It is the regular equilateral triangle whose each exterior angle is 120 degrees

An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.

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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.

A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of x

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

Exterior Angle Theorem Exterior angle of a triangle An exterior angle of a triangle is the angle formed by a side of the triangle and the extension of an adjacent side. In other words, it is the angle that is formed when you extend one of the sides of the triangle to create a new line, and then measure the angle between that new line and the adjacent side of the original triangle. Each triangle has three exterior angles, one at each vertex of the triangle. The measure of each exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it. This is known as the Exterior Angle Theorem. For example, in the triangle below, the exterior angle at vertex C is equal to the sum of the measures of angles A and B So, angle ACB (the exterior angle at vertex C) is equal to the sum of angles A and B. Recomended for you: 𝕨𝕨𝕨.𝕕𝕚𝕘𝕚𝕤𝕥𝕠𝕣𝕖𝟚𝟜.𝕔𝕠𝕞/𝕣𝕖𝕕𝕚𝕣/𝟛𝟚𝟝𝟞𝟝𝟠/ℂ𝕠𝕝𝕝𝕖𝕟ℂ𝕠𝕒𝕝/

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

At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle.

Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle

No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.

An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.