Question

indicate whether the angle below is acute, obtuse, or neither. then find its complement and supplement. 145° acute or obtuse? select an answer complement: supplement:

Explanation:

Step1: Determine acute or obtuse

An acute angle is less than 90°, an obtuse angle is between 90° and 180°. Since 145° is between 90° and 180°, it is obtuse.

Step2: Calculate complement

Complementary angles add up to 90°. Let the complement be $x$. Then $x + 145^{\circ}=90^{\circ}$, so $x=90^{\circ}- 145^{\circ}=- 55^{\circ}$. But angles cannot be negative in this context, so there is no complement for an angle greater than 90°.

Step3: Calculate supplement

Supplementary angles add up to 180°. Let the supplement be $y$. Then $y + 145^{\circ}=180^{\circ}$, so $y = 180^{\circ}-145^{\circ}=35^{\circ}$.

Answer:

Acute or Obtuse? Obtuse
Complement: None
Supplement: 35°