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Grade 6 Angles

Interactive step-by-step solver for understanding angles and solving related problems.

Grade 6 Angles
Back to Grade 6 Chapter 3: Triangles
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Step-by-Step Learning

Learn about angles through these example problems with detailed step-by-step solutions.

Example 1: Classifying an Angle

Classify an angle measuring 120°.

Step 1: An angle is formed by two rays with a common endpoint, measured in degrees.
Step 2: Angles are classified as:
  • Acute: Less than 90°
  • Right: Exactly 90°
  • Obtuse: Greater than 90° but less than 180°
  • Straight: Exactly 180°
Step 3: The angle measures 120°, which is greater than 90° but less than 180°.
Step 4: Therefore, the angle is obtuse.
Angle Classification: 120° 120° is greater than 90° but less than 180°: Obtuse angle.

Example 2: Finding the Complement of an Angle

Find the complement of an angle measuring 35°.

Step 1: Complementary angles are two angles whose measures add up to 90°.
Step 2: Let the complement of the 35° angle be \( x \). Then, \( 35^\circ + x = 90^\circ \).
Step 3: Solve for \( x \): \( x = 90^\circ - 35^\circ = 55^\circ \).
Step 4: Therefore, the complement of 35° is 55°.
Complementary Angles: 35° Complement: \( 90^\circ - 35^\circ = 55^\circ \).

Example 3: Finding the Supplement of an Angle

Find the supplement of an angle measuring 110°.

Step 1: Supplementary angles are two angles whose measures add up to 180°.
Step 2: Let the supplement of the 110° angle be \( y \). Then, \( 110^\circ + y = 180^\circ \).
Step 3: Solve for \( y \): \( y = 180^\circ - 110^\circ = 70^\circ \).
Step 4: Therefore, the supplement of 110° is 70°.
Supplementary Angles: 110° Supplement: \( 180^\circ - 110^\circ = 70^\circ \).

Practice Mode

Enter your own problem related to angles, and get a step-by-step solution.

Note: This basic solver can currently handle angle classification (e.g., Classify an angle of 75°), finding complementary angles (e.g., Find the complement of 40°), and finding supplementary angles (e.g., Find the supplement of 130°).

Related Concepts

Explore these related mathematical concepts to deepen your understanding of angles.

Angle Types

Angles are classified as acute (<90°), right (90°), obtuse (>90° but <180°), or straight (180°).

Complementary Angles

Two angles are complementary if their measures add up to 90°.

Supplementary Angles

Two angles are supplementary if their measures add up to 180°.

Angle Measurement

Angles are measured in degrees using a protractor, with a full circle being 360°.