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d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m  = 48°

∴ m = 2 × 48° = 96°

m∠AEF = (1/2) × m

m + m = 360° (angle round a circle)

∴ m = 360° - m = 360° - 96° = 264°

m = m + m

∴ m = m - m = 264° - 175° = 89°

m = 89°.

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step-by-step explanation:

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