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Equal Parts of a Corner

Part of the Angles section of Coddy's Geometry journey. Lesson 15 of 62.

When the two parts of an angle are equal, the unknown appears twice, and twice the unknown is written 2x. Two equal parts filling a right angle give 2x = 90, so each part is 45°.

$A right angle split into two equal parts of x degrees$

Dividing both sides by 2 undoes the doubling: from 2x = 90 to x = 45. The same idea scales to any whole: equal parts mean multiply, and finding one part means divide.

Challenge

Easy

Two rays cut the right angle in the figure into three equal parts of x° each.

$A right angle cut into three equal parts of x degrees$

Find x.

Try it yourself

3x = 90

Solve for x

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Angles

2Straight Lines and Supplements

Angles on a Line Supplementary Angles Three Angles on a Line Write the Equation Recap: Along the Line

5Around a Point

Angles Around a Point The Missing Angle Equal Slices Four Angles, One Point Recap: The Full Turn

8Transversal Problems

Both Angles Labeled Verticals Meet Parallels From Figure to Equation Alternate with Algebra Recap: Through the Strip

11The Exterior Angle

The Exterior Angle Using the Shortcut Two Roads, One Answer Exterior in the Wild Recap: Outside View

3Right Angles and Complements

Complementary Angles Finding the Complement Perpendicular LinesEqual Parts of a CornerRecap: The Right Corner

6The Angle Bisector

The Angle Bisector Bisected Expressions Bisecting a Straight Angle Recap: Split in Half

9Triangle Angle Sum

The 180 Rule Finding the Third Angle Two Unknown Angles Right Triangles Recap: The Budget

12Final Challenges

Final: The Angle Chase Final: Triangle Meets Line Final: The Full Round Final: Isosceles Chase Final: Master of Angles