# Sum of exterior angles of a triangle

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An exterior (or external) angle is the angle between one side of a triangle and the extension of an adjacent side. An exterior angle of a triangle is equal to the sum of the opposite interior angles. If the equivalent angle is taken at each vertex, the exterior angles always add to 3 6 0 degrees.
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The interior angles of a triangle are the angles inside the triangle. Properties of Interior Angles . The sum of the three interior angles in a triangle is always 180°. Since the interior angles add up to 180°, every angle must be less than 180°. Find missing angles inside a triangle. Example: Find the value of x in the following triangle ...
An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem . If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles. See Exterior angles of a polygon . Ans. Triangle is the polygon with minimum number of sides and an equilateral triangle is a regular polygon because all sides are equal in this. We know that each angle of an equilateral triangle measures 60 degree. Hence, 60 degree is the minimum possible value for internal angle of a regular polygon.
An exterior angle of a triangle is equal to the sum of the opposite interior angles. In simpler way, as any angle of equivalent triangle is 60′, the exterior angle would be 120′. The sum of all exterior angles would be 120+120+120 which is equal t...Before deriving the sum of exterior angles formula for an n-gon, let’s review how we did it on p. 213 for triangles! It’ll make it much easier to follow the n-gon version, trust me. Notice that for each vertex of a triangle, the exterior angle and interior angle are supplementary to each other. For Chapter 4.1 Notes: Apply Triangle Sum Properties PPT. Presentation Summary : An equiangular triangle is a triangle with three congruent angles. Classification By Sides Classification By Angles Triangle Sum Theorem The sum of the measures
Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees. If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. Sep 05, 2007 · Find the sum of the exterior angles of each of the following: triangle,convex polygon,quadrilateral, pentagon, and a hexagon. Make a conjecture about the sum of the measures of a convex n-gon Find the interior angles of the same as above For a triangle: The exterior angle d equals the angles a plus b. The exterior angle d is greater than angle a, or angle b. Example: The exterior angle is 35° + 62° = 97 ...
Suppose the measures of the three angles of a triangle are x, y, and z. Explain why the expression represents the sum of the exterior angles of the triangle. Use your answers to the previous two problems to help justify why the sum of the exterior angles of a triangle is 360 degrees. Hint: Use algebra to show that must equal 360 if . Review ...An exterior angle of a triangle is equal to the sum of the opposite interior angles. In simpler way, as any angle of equivalent triangle is 60′, the exterior angle would be 120′. The sum of all exterior angles would be 120+120+120 which is equal to 360′. 7.2K views
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