Question

What is the value of m

Answer 1

• 114°

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Angle G is central angle and angle E is inscribed angle, both with same endpoints.

According to the inscribed angle theorem the inscribed angle is half of the central angle.

Hence the central angle G measures:

• m∠G = 2(m∠E)
• m∠G = 2(57°)
• m∠G = 114°