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mhanifa

Answer:

  • 36.86°

Step-by-step explanation:

The angle measure we need is twice the angle ACB.

Find its measure considering AB = 4/2 = 2 in and BC = 6 in.

Use trigonometry:

  • tan(∠ACB) = AB/BC = 2/6 = 1/3
  • m∠ACB = artctan (1/3)
  • m∠ACB = 18.43° (rounded)

The angle between the line segments is:

  • 18.43° × 2 = 36.86°

Step-by-step explanation:

Radius = Diameter/2

Radius = 4/2

Radius = 2 cm

Now,

tan <ACB = AB/BC

tan <ACB = 2/6

tan <ACB = ⅓

<ACB = 18.43

Now,

Angle = 2 × <ACB

Angle = 2 × 18.43

Angle = 36.86⁰

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