Mrs.D Math · 7th Grade

GEO
SOLVER

Geometry Equations
Complementary = 90°
Supplementary = 180°
Vertical = Equal
Triangle = 180°
◆ Complementary
◆ Supplementary
◆ Vertical
△ Triangle
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📚 Geometry Equations

How to Solve Geometry Equations

1
Identify the relationship (complementary, supplementary, vertical, triangle sum).
2
Write the equation. Set the expression equal to the total (90°, 180°, or the other angle).
3
Solve for x. Combine like terms, subtract constants, then divide.
2x + 10 + 50 = 90 → 2x = 30 → x = 15

Complementary

(2x+10)° 50° sum = 90°

Angles sum to 90°
(2x+10)+50=90 → x=15

Supplementary

(3x)° 90° sum = 180°

Angles sum to 180°
(3x)+90=180 → x=30

Vertical Angles

(4x+5)° 45° vertical angles are equal

Vertical angles are equal
4x+5=45 → x=10

Triangle Sum

(2x)° 50° 60° sum = 180°

Three angles sum to 180°
50+60+(2x)=180 → x=35

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COMPLEMENTARY
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