SOLUTION: If the measure of two exterior angles, one at each vertex of a triangle is 230, find the measure of the third exterior angle and its adjacent interior angle
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Question 1032289: If the measure of two exterior angles, one at each vertex of a triangle is 230, find the measure of the third exterior angle and its adjacent interior angle
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
The sum of the exterior angles for any figure no matter how many sides is equal to 360. In your problem:
360-230 = 130 is the 3rd exterior angle.
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Exterior Angle Theorem
The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles of the triangle. See my illustration below, W = X+Y.
So, in your problem X+Y= 130
therefore, angle Z = 180-130 = 60
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