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mel-nik [20]
3 years ago
11

the sum of the internal angles of a regular polygon is equivalent to 56 right angles. Find the measure of the central angle of t

he polygon
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
If x is the number of sides of the regular polygon, then the sum of the interior angles is (x - 2) * 180 = 56 * 90. Solving for x gives 30 for the number of sides of the regular polygon.

To get the central angles measure, divide 360 by 30 to get 12 degrees for the measure of one of the 30 central angles.

Answer: 12 degrees
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Answer:

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Degree of polynomial: degree of a polynomial is the term with highest of exponent.

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the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.

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Step-by-step explanation:

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3 years ago
∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.
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Answers:

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  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

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

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

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15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

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2 years ago
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Answer:

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36-15=21

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3 years ago
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