The supplement of the larger angle is 108°.
Step-by-step explanation:
Step 1:
If two angles are complementary, the sum of the angles will be equal to 90°.
If two angles are supplementary, the sum of the angles will be equal to 180°.
If angle m and n are complementary, the sum of angles m and n will be 90°.
Also assume angle m is four times the angle n.
So [tex]m = 4n.[/tex]
[tex]m+n = 4n+n = 5n=90.[/tex]
So [tex]n=18.[/tex]
[tex]m = 4n = 4(18) = 72.[/tex]
so m is 72° and n is 18°.
Step 2:
Angle m is the larger angle.
Assume angle m and angle o are supplementary.
Angle m + angle o = 180°.
Angle o [tex]= 180 - 72 = 108 .[/tex]
So the supplement of the larger angle is 108°.
