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fenix001 [56]
3 years ago
5

The interior angles formed by the sides of a pentagon have measures that sum to 540°. What is the measure of angle B?

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
5 0

Answer:

111°

Step-by-step explanation:

I took the assignment.

patriot [66]3 years ago
4 0

Answer:

m∠B = 110°

Step-by-step explanation:

We know that,

The sum of the measures of the angles in a pentagon is 540°.

So, we get,

130 + (x-5) + (x+30) + 75 + (x-35) = 540

i.e. 3x + (130+30+75) - (5+35) = 540

i.e. 3x + 235 - 40 = 540

i.e. 3x + 195 = 540

i.e. 3x = 540 - 195

i.e. 3x = 345

i.e. x= 115°

Now, as m∠B = (x-5)° = (115-5)° = 110°

Hence, the measure of angle B is 110°.

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Dmitriy789 [7]

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8 0
4 years ago
Matt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 4 of the sections in th
gulaghasi [49]

Answer:

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

Let the equal angles drawn = x

x + x + x + x + x + x + x + x = 360°

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Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.

Finding the measure of this angle:

1 section in the circle = 45 (<em>shown above</em>)

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3 years ago
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Leya [2.2K]

9514 1404 393

Answer:

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Step-by-step explanation:

You want ...

  (5 1/3)/(4/a) = whole number

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  (4a/3) = whole number

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8 0
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