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3 years ago

An exterior angle of a regular polygon measures 45 degrees. What is the measure of an interior angle?

Mathematics

1 answer:

ikadub [295]3 years ago

7 0

The exterior angle of a polygon and its corresponding interior angle always add up to 180°.

Let the interior angle of the polygon be $y^{\circ}$

$45^{\circ}+y=180^{\circ}$

So, $y=180^{\circ}-45^{\circ}$

$y=135^{\circ}$

So, the interior angle of the polygon is $135^{\circ}$

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pashok25 [27]

Answer:

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3 years ago

Jen has 6 yards of fabric and wants to make a new dress and shorts she used 3 1/3 yards of the fabric on her new dress how much

kodGreya [7K]

Answer:

$2\frac{2}{3}\ yards$

Step-by-step explanation:

we know that

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$6-3\frac{1}{3}$

Convert mixed number to an improper fraction

$3\frac{1}{3}=\frac{3*3+1}{3}=\frac{10}{3}$

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3 years ago

Please help me by solving this!

JulsSmile [24]

Answer:

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Step-by-step explanation:

let Ani age be X

let Biju age be Y

the difference of their age is 3

i.e X - Y = 3......,....(equ. 1)

let Dharam age be A

let Cathy age be B

i.e A = 2x

B = y/2

the difference of their age is 30

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from equ.1 X = ( 3+y).........( equ.3)

y/2 - 2(3+y) = 30

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3y = 54

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3 years ago

........................

Ulleksa [173]

Answer:

...................... have no end

Step-by-step explanation:

Hope it will help

<h2>Now , can i get brainlists please</h2>

7 0

3 years ago

Read 2 more answers

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

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3 years ago