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shutvik [7]
3 years ago
11

Determine the degree measure of arc HJ. A) 27° B) 35.5° C) 44° D) 62.5°

Mathematics
2 answers:
Ratling [72]3 years ago
8 0
C Would Be Correct I Belive
Nezavi [6.7K]3 years ago
6 0

Answer

Find the degree measure of arc HJ.

To prove

By using the formula

Angle\ formed\ outside = \frac{1}{2} (Difference\ of\ intercepted\ arcs)

i.e

\angle HOJ =\frac{1}{2}(98^{\circ} - measure\ of\ arc\ HJ. )

As ∠HOJ = 27°

Put in the above equation

27^{\circ}=\frac{1}{2}(98^{\circ} - measure\ of\ arc\ HJ. )

27° × 2 =  98° - measure of arc HJ

54° = 98° - measure of arc HJ.

measure of arc HJ = 98° - 54°

measure of arc HJ = 44°

Therefore the option (C) is correct.

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=========================================

Explanation:

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