Question

indicate whether the angle below is acute, obtuse, or neither. then find its complement and supplement. 150° acute or obtuse? select an answer complement: supplement: question help: video written example

Explanation:

Step1: Determine acute or obtuse

Acute angles are less than 90°, obtuse angles are between 90° and 180°. Since 150° is between 90° and 180°, it is obtuse.

Step2: Find the complement

Complementary angles add up to 90°. Let the complement be $x$. Then $x + 150^{\circ}=90^{\circ}$, but $150^{\circ}>90^{\circ}$, so there is no complement.

Step3: Find the supplement

Supplementary angles add up to 180°. Let the supplement be $y$. Then $y+150^{\circ}=180^{\circ}$, so $y = 180^{\circ}-150^{\circ}=30^{\circ}$.

Answer:

Acute or Obtuse? Obtuse
Complement: None
Supplement: $30^{\circ}$