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If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?
Suppose two angles ABC and CBD are x and y.
x+y = 180 deg.
The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.
Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle
Adjacent angles are when the 2 angles have a common vertex and a common arm.
if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.
Then the sum of the 2 adjacent angles is a right angle - 90°.
When 2 angles add up to 90°, they are called a pair of complementary angles.
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