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Zolol [24]
3 years ago
7

Two angles of a quadrilateral measure 215° and 70°. The other two angles are in a ratio of 2:13. What are the measures of those

two angles?
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

The sum of the interior angles of a quadrilateral is 360°.

The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.

Now, solve for x.

\mathfrak{215+70+2x+13x=360}

\mathfrak{285+15x=360}

\mathfrak{15x=360-285}

\mathfrak{15x=75}

\mathfrak{x=\dfrac{75}{15}}

\underline{\mathfrak{x=5}}

So,

2x = 2(5) = \boxed{\mathfrak{10^{\circ}}}

13x = 13(5) = \boxed{\mathfrak{65^{\circ}}}

\mathbb{MIREU}

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pickupchik [31]
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 200% of the output value, so we can write it down as x=200%.
5. Now we have two simple equations:
1) 112=100%
2) x=200%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/200%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 200% of 112

112/x=100/200
(112/x)*x=(100/200)*x - we multiply both sides of the equation by x
112=0.5*x - we divide both sides of the equation by (0.5) to get x
112/0.5=x
224=x
x=224

now we have:
200% of 112=224



●I tried my best I was never good with percentages my least favorite.... Please let me know if you got it wrong. If you do I'm sorry.
3 0
4 years ago
A man buys a jacket birr 300 before VAT what is the VAT and the total cost?​
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Total cost:-

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7 0
3 years ago
How many times does 20 go into 74??
Dima020 [189]
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7 0
3 years ago
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3 years ago
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Answer:

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8 0
3 years ago
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