Question

Suppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.

Answer 1

if x and y are the two angles, then
x+y=180-------------------------(1)
if x is obtuse , then x= 90+m
put this value in equation (1)
90+m+y=180
m+y=90
y=90-m ( acute angle)

Answer 2

Answer:

Step-by-step explanation:

1.adjuscent angle are the angle where two angles are meet with common vertex.

2. Obtuse angle (90 and 180)

3. It is not important that one is obtuse so another be acute.