Question

Prove that the bisectors of two adjacent supplementary angles are at right angles

Answer 1

sum of two supplementary angle is 180° when we bisect them it will be 90°
therefore angle between bisctors is 90°

Answer 2

Answer:

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Let the adjacent angles be x&y.

Given x+y=180°

When bisector are drawn, the angle between the bisector is:

x/2+y/2=x+y/2=180/2=90°