Mathematics: Determine the degree measure of arc hj. a) 27° b) 35.5° c) 44° d) 62.5°

3.25/5 = .65 .65 • 3 = 1.95Maya will use 1.95 gallons of paint....

Determine the degree measure of arc hj. a) 27°

bren04

07.01.2022

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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