Question

What is the complement and supplement of 37°?

Answer 1

The complement of `37°` is `53° rArr 37°+53° = 90°`

The supplement of `37°` is `143° rArr 37°+143° = 180°`

Explanation:

`color(red)("Complementary")` angles add up to `color(red)(90°)`

For example: `20° +70° = 90°`
20° is the complement of 70° and 70° is the complement of 20°.

The complement of 37° is 53°.

If they are next to each other and share the same vertex with one common arm, they are called `"adjacent complementary angles"`

If you have a rectangle and you draw in the diagonals, then the two angles at each corner are adjacent complementary angles.

Think of the letter "C" for "Corner" to remember complementary angles add up to 90°.

`color(blue)("Supplementary")` angles add up to `color(blue)(180°)`

For example: `110° +70° = 180°`
110° is the supplement of 70° and 70° is the supplement of 110°.

The supplement of 37° is 143°.

If they are next to each other and share the same vertex, they will form a straight line. They are often called "angles on a straight line" or "adjacent supplementary angles"

Think of the letter "S" for "Straight line" to remember that supplementary angles add up to 180°.