01. THE BASICS

Soldier! Before we deploy, you must master the Inscribed Angle Theorem.

RULE #1: Angle on the EDGE = 1/2 the Arc.
> Example: If Arc is 100°, Angle is 50°.
> Example: If Angle is 30°, Arc is 60°.
Arc 100° 50°

02. THE BOWTIE

When two angles share the SAME ARC, they are essentially the same sniper shot.

RULE #2: Shared Arc = EQUAL ANGLES.
A B Same Arc

03. THALES' RULE

If the arc is a SEMICIRCLE (Diameter), the math is easy.

RULE #3: Diameter Triangle = 90° ANGLE.

Why? Half of 180° is 90°.

90° Diameter

04. QUAD TRAP

A 4-sided shape inside a circle is a "Cyclic Quadrilateral".

RULE #4: Opposite Angles = 180° TOTAL.

Angle A + Angle C = 180°.

A C A+C=180

READY FOR DEPLOYMENT?

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10 Goats are stranded. Calculate the correct angles to lower the rescue ladders.