Inscribed shapes
Angle C is inscribed in circle O.
AB is a diameter of circle O.
What is the measure of ZA?

Measure of ZA =

Step-by-step explanation:

Given: A circle O with AB as diameter. Angle C is inscribed in the circle.

To Find: Measure of ZA.

Solution: AB is a diameter.

∴ Measure of AB =

∴ ∠C = (Inscribed Angle Theorem)

Measure of ZA = (Inscribed angle as well as angle in the same segment of the circle.

Inscribed Angle Theorem: Angle subtended by an arc at the center is double the angle subtended by it at any point on the circumference.

Angle in the Same Segment: Angles in the same segment of the circle are equal.

Angle in a Semi-Circle: An angle in a semi-circle is a right angle.

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