Question

prove that the bisectors of two adjacent supplementary angle include a right angle

Answer 1

if the angles are and b because they are supplementary a+b=180 divide by 2 a/2+b/2=90

Answer 2

here line AB is a straight line
= 180 degree (supplementary angle angle AOB )

draw the perpendicular bisector on the the line AB which is q at the point o.
The line qo divides it in to two equal parts
that is AO = OB
and forms angle AOq = angle BOq

the line qo bisect the angle AOB


and forms Anlge AOq = 90degre, Angel BOq = 90degre

Angle AOq + Angle BOq = 180

90 + 90 =180


Hence it is prove that the bisectors of two adjacent supplementary angle include a right angle.

hope it helps you..