Question 116497

Angle {{{A}}} and {{{B}}} form a linear pair. (they are supplementary)


Given:

{{{A=w}}} 

{{{B = w – 30°}}}

If angles {{{A}}} and {{{B}}} are supplementary, their measurements add up to {{{180°}}} degrees

So, we will have:

{{{A + B = 180°}}}………..plug in values for {{{A}}} and {{{B}}}

{{{ w + w – 30° = 180°}}}

{{{ 2 w – 30° = 180°}}}……..move {{{-30}}} to the right
	
{{{ 2 w = 180° + 30°}}}

{{{ 2 w = 210°}}}

{{{  w = 105°}}}………………this will be m of angle {{{A}}}

{{{B = w – 30°}}}

{{{B = 105° – 30°}}}

{{{B = 75°}}}……………………. this will be m of angle {{{B}}}


Check:

{{{A + B = 180°}}}……….plug in {{{A}}} and {{{B}}}

{{{105°+ 75° = 180°}}}……….

{{{180° = 180°}}}……….