Question

Find the measure of (a) the complement and (b) the supplement of angle. (look at picture to see problems # 4 - 7)Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. (look at picture to see problems # 8 - 10)

Answer 1

Complement angles are angles whose sum is equal to 90° and supplement angles whose sum is equal to 180°

So, the complement and supplement of 47° are:

Complement = 90° - 47° = 43°

Supplement = 180° - 47° = 133°

At the same way, the complement and supplement of 19° are:

Complement = 90° - 19° = 71°

Supplement = 180° - 19° = 161°

The complement and supplement of 75° are:

Complement = 90° - 75° = 15°

Supplement = 180° - 75° = 105°

The complement and supplement of 2° are:

Complement = 90° - 2° = 88°

Supplement = 180° - 2° = 178°

Answers: 1. Complement = 43°

Supplement = 133°

2. Complement = 71°

Supplement = 161°

3. Complement = 15°

Supplement = 105°

4. Complement = 88°

Supplement = 178°