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atroni [7]
2 years ago
11

Two angles form a linear pair. The measure of one angle is (4y + 54)∘and the other angle is (2y + 90)∘. Find the measures of eac

h angle. Do not include any units
Mathematics
1 answer:
Murljashka [212]2 years ago
7 0

<em>The measure of each of the </em><em>linear angle pair</em><em> are: </em>78^{\circ} $ and $ 102^{\circ}<em />

  • The linear pair angles have been illustrated in the image attached below.

  • <em><u>Recall</u></em>:

Angles of a linear pair add up to give us the sum of 180 degrees. Therefore, the sum of the two angles that form the linear pair in the image attached below will equal 180 degrees.

  • <em>Thus</em>:

(4y + 54) + (2y + 90) = 180\\

  • Solve for the value of y in the equation

4y + 54 + 2y + 90 = 180\\\\

  • Add like terms

6y + 144 = 180\\\\

  • Subtract 144 from both sides

6y = 180 - 144\\\\6y = 36

  • Divide both sides by 6

y = 6

Find the measure of each angle by plugging in the value of y in each expression:

(4y + 54) = 4(6) + 54\\\\= 24 + 54\\\\= 78^{\circ}

(2y + 90) = 2(6) + 90\\= 12 + 90\\\\= 102^{\circ}

<em>Therefore, the two angles that form the </em><em>linear pair</em><em> are:</em>

<em />78^{\circ} $ and $ 102^{\circ}<em />

<em />

Learn more about linear pair here:

brainly.com/question/12040176

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Answer:

7/15 is the probability of selecting a boy and a girl.

Step-by-step explanation:

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8 0
3 years ago
What is mKNL?<br> Enter your answer in the box.
sergejj [24]

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

5x+2={3(x+14)

Now let's solve for x now

5x+2=3(x+14)\\

5x+2=3x+42

5x-3x=42-2

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Now let's find the value of KNL

3(x+14)\\3(20+14)\\3*34\\102

Hope this helps you.

Let me know if you have any other questions ;-)

5 0
3 years ago
What is 5/8 times 2,I haven't done timesing decimals in a long time and have forgot how to so help asap pleassseee ty :-)
LiRa [457]
5/8x2=5/4
That's your answer lovely~
4 0
4 years ago
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8 0
3 years ago
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What is this question?
patriot [66]
It’s 2/3. This is because 1/15 is 3/45 because 3 is the number of eclairs. So then (2x+6)+x=45-3. 3x+6=42. 3x=36. x=12. Humbug=2x+6. 2(12)+6=30. So the probability is 30/45, which can be reduced to 2/3. I hope this makes sense.
5 0
3 years ago
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