one of the exterior angle of triangle is 100 deegrees . the interior opposite angles are equal to each other find the measures of these equal interior opposite angles . correct answer with explanation will be marked as braineist
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Answer:
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Answer:
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, <4 is an exterior angle.
The theorem above states that if <4 is an exterior angle, its measure is equal to the sum of the measures of the 2 interior angles to which it is not adjacent, namely, <2 and <3.
Since the measure of an exterior angle equals the sum of its two non-adjacent interior angles, the exterior angle is also greater than either of the individual non-adjacent interior angles.
Theorem: The measure of an exterior angle of a triangle is greater than either of its two non-adjacent interior angles.
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