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2 years ago

An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

Amanda [17]2 years ago

3 0

One angle would be 57 degrees, one would be 103

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What is the measure of 0 ?

MrRissso [65]

Answer:

Option A. 4 radians

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=5\ cm$

substitute

$C=2\pi (5)$

$C=10\pi\ cm$

step 2

Find the measure of angle $\theta$

we know that

The circumference of the circle subtends a central angle of 2π radians

using proportion

Find out the central angle by an arc length of 20 cm

$\frac{10\pi}{2\pi}=\frac{20}{x}\\\\x=2\pi (20)/10\pi\\\\x=4\ radians$

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Step-by-step explanation:

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