Questions: What is the measure of the major arc? A. 150° B. 190° C. 105° D. 210°

What is the measure of the major arc? A. 150° B. 190° C. 105° D. 210°
Transcript text: What is the measure of the major arc? A. $150^{\circ}$ B. $190^{\circ}$ C. $105^{\circ}$ D. $210^{\circ}$
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Solution

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Solution Steps

Step 1: Analyze the given information

The central angle EOG is given as 150°. The major arc is the longer arc connecting points E and G.

Step 2: Calculate the measure of the major arc

The major arc EG is the portion of the circle's circumference outside the central angle EOG. A full circle has 360°. Therefore, the measure of major arc EG is $360^{\circ} - 150^{\circ} = 210^{\circ}$.

Final Answer

\\(\boxed{D. 210^{\circ}}\\)

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