🔢 MathGrade 4Lesson 25
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Identify Angles and Lines

Lesson preview: the Mini Lesson and Vocabulary are open to everyone. Guided practice, exercises, the parent checklist and the printable PDF worksheet come with full access (free 7-day trial or membership).

Learning Objectives

  • 1Identify and define acute, right, obtuse, and straight angles
  • 2Classify angles by their size in degrees
  • 3Identify parallel, perpendicular, and intersecting lines
  • 4Recognize angles and lines in real-world shapes and objects
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Mini Lesson

An angle is formed when two lines or rays meet at a point called the vertex. We measure angles in degrees (°). The size of an angle tells us how wide or narrow it is. Lines can also be classified by how they relate to each other — whether they meet, cross, or never touch.

Types of Angles

  • Acute angle: less than 90° — a sharp, narrow angle.
  • Right angle: exactly 90° — shown with a small square at the vertex.
  • Obtuse angle: between 90° and 180° — a wide, blunt angle.
  • Straight angle: exactly 180° — two rays pointing in opposite directions form a straight line.
  • Reflex angle: greater than 180° (more than a half-turn).

Types of Lines

  • Parallel lines: always the same distance apart; they never meet (written ||).
  • Perpendicular lines: two lines that meet at exactly 90°.
  • Intersecting lines: two lines that cross each other at any angle.
Four types of anglesTypes of AnglesAcute45°Right90°Obtuse120°Straight180°
Types of lines: parallel, perpendicular, intersectingTypes of LinesParallelnever meetPerp.meet at 90°Intersect.cross at any angle
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Tip: look for the right-angle square marker at a corner — that is always 90°. Acute means "sharp" and obtuse means "blunt" — use those clues to remember which is less than or greater than 90°.

Vocabulary
Angle
The amount of turn between two lines that meet at a vertexe.g. The corner of a book makes a right angle.
Right angle
An angle of exactly 90 degreese.g. Each corner of a square is a right angle.
Acute angle
An angle smaller than 90 degreese.g. A 45° angle is an acute angle.
Obtuse angle
An angle larger than 90 degrees but less than 180 degreese.g. A 120° angle is obtuse.
Parallel lines
Two lines that stay the same distance apart and never meete.g. Train tracks are parallel lines.
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