Question

6. In the given figure, angle1 and angle 2 are supplementary
angles
If angle 1 is decreased, what changes should take place
in angle2 so that both the angles still remain
supplementary​

Answer 1

measure of angle 2 will increase

Answer 2

if angle 1 is decreased by x then the angle 2 should be increased by the same x degrees.

now u get an equation as angle1=angle2=supplementry angles

or angle 1= angle2

like angle 1 - x = angle 2 + x

now -x and + x gets cancelled so you get angle1 = angle2

see i proved it also

you can also try it by taking values in the angles and prove it

the best way to keep this type of solutions in your mind is if one side u do addition then the other side you subtract on the other that is the concept

hope it helps

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good day