Angle Relationships Flashcards
Angle Relationships Flashcards
Page 1 • Front of Cards (Diagrams & Questions)
Double-sided: Flip on long edge • Cut along dashed lines
Card 01 • Front Right Angle Corner
Find the value of \(x\)
35° x
🔍 Clue: The square box means \(90^\circ\)! Turn over ➔
Card 02 • Front Right Angle Corner
Find the value of \(x\)
28° x
🔍 Clue: The outer sides form an "L" corner! Turn over ➔
Card 03 • Front Straight Line
Find the value of \(x\)
x 130°
🔍 Clue: Both angles sit on a straight line! Turn over ➔
Card 04 • Front Straight Line
Find the value of \(x\)
x 45°
🔍 Clue: Flat straight angle equals \(180^\circ\)! Turn over ➔
Card 05 • Front Intersecting Lines
Find the value of \(x\)
70° x
🔍 Clue: The angles face directly across the "X"! Turn over ➔
Card 06 • Front Adjacent Neighbors
Find the value of \(x\)
80° x
🔍 Clue: Adjacent neighbor angles along a flat ray! Turn over ➔
Angle Relationships Flashcards
Page 2 • Back of Cards (Rules, Hints & Solutions)
Horizontally mirrored: Aligns back-to-front with Page 1
Card 02 • Back Complementary
Complementary Angles
Rule: Two angles that together form a right angle add up to \(90^\circ\).
Step 1 (Equation): \(x + 28^\circ = 90^\circ\)
Step 2 (Subtract): \(x = 90^\circ - 28^\circ\)
💡 Quick Check: \(62 + 28 = 90^\circ\)
\(x = 62^\circ\)
Card 01 • Back Complementary
Complementary Angles
Rule: Two angles that make a square corner sum to \(90^\circ\).
Step 1 (Equation): \(x + 35^\circ = 90^\circ\)
Step 2 (Subtract): \(x = 90^\circ - 35^\circ\)
💡 "C" is for Corner (\(90^\circ\))
\(x = 55^\circ\)
Card 04 • Back Supplementary
Supplementary Angles
Rule: Two angles along a straight line sum to \(180^\circ\).
Step 1 (Equation): \(x + 45^\circ = 180^\circ\)
Step 2 (Subtract): \(x = 180^\circ - 45^\circ\)
💡 Quick Check: \(135 + 45 = 180^\circ\)
\(x = 135^\circ\)
Card 03 • Back Supplementary
Supplementary Angles
Rule: Angles forming a flat linear pair always equal \(180^\circ\).
Step 1 (Equation): \(x + 130^\circ = 180^\circ\)
Step 2 (Subtract): \(x = 180^\circ - 130^\circ\)
💡 "S" is for Straight line (\(180^\circ\))
\(x = 50^\circ\)
Card 06 • Back Linear Pair
Adjacent on a Line
Rule: When two adjacent angles share a line, they add to \(180^\circ\).
Step 1 (Equation): \(80^\circ + x = 180^\circ\)
Step 2 (Subtract): \(x = 180^\circ - 80^\circ\)
💡 Neighbor + Neighbor = \(180^\circ\)
\(x = 100^\circ\)
Card 05 • Back Vertical Angles
Vertical Angles
Rule: Angles directly across the vertex from each other are always equal.
Step 1 (Position): Directly opposite in "X"
Step 2 (Equal): \(x = \text{opposite angle}\)
💡 "V" for Vertex twins (no math needed!)
\(x = 70^\circ\)
