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At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle.
They are all 60 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,
180 - interior angle = exterior angle
With a protractor remembering that interior angle and exterior angle add up to 180 degrees because angles on a straight line add up to 180 degrees. The 3 interior angles of any triangle add up to 180 degrees and their 3 exterior angles add up to 360 degrees.
At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle.
you add it all
They are all 60 degrees.
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/
40
80 degrees.
A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of x
the hypotenuse is the exterior angle
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,
180 - interior angle = exterior angle
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
Its interior angles are 36, 60 and 84 degrees respectively with its greatest exterior angle being 144 degrees.