Question

angle m and angle n are complementary the measure of one angle is four times the other angle what is the supplement of the larger angle​

Answer 1

The supplement of the larger angle is 108°.

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
`m = 4n.`

`m+n = 4n+n = 5n=90.`

So
`n=18.`

`m = 4n = 4(18) = 72.`

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
`= 180 - 72 = 108 .`

So the supplement of the larger angle is 108°.