Exterior Angle Property
Exterior Angle Property
Exterior Angle Property:
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 360° In fact, this is true for any convex polygon, not just triangles.
Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.In order words:Exterior Angle = Sum of Interior Opposite Angles As shown in the following diagram:
Exterior Angle is ∠ ACD and its two interior opposite angles are ∠ BAC and ∠ ABCMeasure of ∠ ACD = 130°Measure of one interior ∠ BAC = 60°Measure of other interior ∠ ABC = 70°Now, we can observe that:130° = 60° + 70°Or we can say:∠ ACD = ∠ BAC and ∠ ABCHence, its demonstrated that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles
Find the measure of angle
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| Right Option : A | |||
| View Explanation | |||
Find the meansure of each exterior angle of an equilateral triangle. | |||
| Right Option : B | |||
| View Explanation | |||
In a triangle,an exterior angle at a vertex is | |||
| Right Option : C | |||
| View Explanation | |||
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