Let the measure of angle be 'x'
Since, the measure of the supplement of an angle is 84° less than the measure of the angle.
Therefore, measure of supplement of x = x - 84°
The measure of two supplementary angles is 180 degrees.
[tex]x + x -84^\circ = 180^\circ[/tex]
[tex]2x -84^\circ = 180^\circ[/tex]
[tex]2x =84^\circ + 180^\circ[/tex]
[tex]2x =264^\circ[/tex]
[tex]x =132^\circ[/tex]
So, the measure of angle =[tex]x =132^\circ[/tex]
Its supplement = x - 84° = 132° - 84°
= 48°
So, the measure of supplement of angle is 48 degrees.
