1. **Stating the problem:** Fill in the blanks and explain the types of angles, complementary and supplementary angles, and find the complement of 30°. 2. **Angles and their measurement:** An angle **is the figure formed by two rays with a common endpoint**. Angles are measured in **degrees**. • There are **90 degrees** in a quarter-turn. • There are **180 degrees** in a half-turn. • There are **360 degrees** in a full-turn. We can measure angles with a **protractor**. 3. **Types of angles:** - Acute angle: less than 90° - Right angle: exactly 90° - Obtuse angle: between 90° and 180° - Straight angle: exactly 180° 4. **Complementary and supplementary angles:** A pair of complementary angles are **two angles whose measures add up to 90°**. Example 2: What is the complement of 30°? Use the formula for complementary angles: $$\text{Complement} = 90^\circ - \text{given angle}$$ Calculate: $$90^\circ - 30^\circ = 60^\circ$$ So, the complement of 30° is 60°. A pair of supplementary angles are **two angles whose measures add up to 180°**. 5. **Examples from the image:** - Angle A is 55°. - Angle B is 70°. These angles can be used to find their complements or supplements if needed.