Because angles on a straight line will always add up to 180 degrees
In a triangle, the two angles that do not form a linear pair with a given exterior angle are the two interior angles that are adjacent to the angle of the triangle that is extended to form the exterior angle. The exterior angle is equal to the sum of these two non-adjacent interior angles, according to the exterior angle theorem. Therefore, the two angles are not directly related to the exterior angle but contribute to the overall relationship within the triangle.
No, an acute triangle can have an acute exterior angle. An exterior angle is formed by extending one side of the triangle, and its measure is equal to the sum of the two opposite interior angles. Since all interior angles of an acute triangle are less than 90 degrees, the corresponding exterior angles can also be acute, depending on which side is extended.
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
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.
In a triangle, the two angles that do not form a linear pair with a given exterior angle are the two interior angles that are adjacent to the angle of the triangle that is extended to form the exterior angle. The exterior angle is equal to the sum of these two non-adjacent interior angles, according to the exterior angle theorem. Therefore, the two angles are not directly related to the exterior angle but contribute to the overall relationship within the triangle.
No, an acute triangle can have an acute exterior angle. An exterior angle is formed by extending one side of the triangle, and its measure is equal to the sum of the two opposite interior angles. Since all interior angles of an acute triangle are less than 90 degrees, the corresponding exterior angles can also be acute, depending on which side is extended.
It is: 180-interior angle = exterior angle
It is: 180-interior angle = exterior angle
It is: 180-interior angle = exterior angle
180 minus 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
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.