Remote interior angles
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.
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
An exterior angle of a triangle can have a value between (but not including) 0 to 180 degrees.
105
angle dcf and angle dfc
Are two angle of a triangle that are not adjacent to the exterior angle
They are all 60 degrees.
always
They are called supplementary angles.
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/
No. It is equal to the sum of the opposite interior angles.
They equal the supplement of the interior angle it is adjacent to. (180-int. angle) E.g: the exterior angles of an equilateral triangle are each equal to 120 degrees.
Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,
Exterior and interior angles at the vertex of a triangle add up to 180 degrees
-- A scalene triangle has three interior angles and three exterior angles. -- The sum of the interior angles is 180 degrees, and no two of them are equal. -- The sum of the exterior angles is also 180 degrees, and no two of them are equal. -- The sum of each interior angle and its adjacent exterior angle is 180 degrees.
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.
An exterior angle of a triangle is defined to be the angle between one side of a triangle and the extension of an adjacent side. The measurement of this exterior angle is equal to the sum of the two opposite interior angles. See the related links for diagrams and sample problems.