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2 years ago

Each regular polygon has radil and apothem as shown. Find the measure of each numbered angle.

Mathematics

1 answer:

ruslelena [56]2 years ago

4 0

Answer:

∠5 = 60°

∠6 = 30°

∠7 = 120°

Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

∠5 = 60°

∠6 = 30°

∠7 = 120°

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2 years ago

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a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

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$x-2y+1=0\\x= 2y-1$

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$2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7$

Now we substitute y in our first equation.

$x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7$ .

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b) x -2y +11 =0

-x + 2y - 13 =0

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$-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2$

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2 years ago

Each regular polygon has radil and apothem as shown. Find the measure of each numbered angle. ​

Each regular polygon has radil and apothem as shown. Find the measure of each numbered angle.