prove that the bisectors of two adjacent supplementary angles includes a right angle
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Let the supplementary angles be
A and B . You can call them also A and 180-A, since they are supplementary.
Draw a straight line and let a second line join it at point O, to divide the straight line into a zero degree line and a 180 degree line. The space above the line is divided into angles A and 180 - A.
The bisector of A is A/2 degrees from the zero degree line.
The bisector of B is A + (180-A)/2 from the zero degree line.
The angle between the two bisectors is
A + (180-A)/2 -A/2 = 90
Hope this helps u..
A and B . You can call them also A and 180-A, since they are supplementary.
Draw a straight line and let a second line join it at point O, to divide the straight line into a zero degree line and a 180 degree line. The space above the line is divided into angles A and 180 - A.
The bisector of A is A/2 degrees from the zero degree line.
The bisector of B is A + (180-A)/2 from the zero degree line.
The angle between the two bisectors is
A + (180-A)/2 -A/2 = 90
Hope this helps u..
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