1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Find the value of x
mixas84 [53]

Answer:

x=60 degrees

Step-by-step explanation:

Since all of the sides are the same (we know that because of the dash marks on the sides) you take the number that all the angles of triangles added up equals which is 180 and divide by 3 which is 60

6 0
3 years ago
Help me and when you are done <br> have a blessed day god blesses you
rewona [7]

Answer:

False

Step-by-step explanation:

The left side −28 does not equal to the right side 22 , which means that the given statement is false.

5 0
3 years ago
Read 2 more answers
A computer game usually sells for $40. Niko bought it when it went on sale for 25% off. The sales tax was 6%. How much did Niko
MAVERICK [17]

Answer:

$12.40

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Is f(x)=x^3+2 a one-to-one function
Zolol [24]
It pretty much looks like a one to one function. Plot the graph then draw a horizontal line,if the line touches the graph at just one point then it is
7 0
4 years ago
Find which inequality statement is correct. A café used 15.75 pounds of flour on Monday and 15.57 pounds of flour on Tuesday. Wh
statuscvo [17]

Answer:

15.75 > 15.57

Step-by-step explanation:

1. 15.75 is greater than 15.57. ">" means greater than.

2. 15.75 < 15.57 is wrong because 15.75 is not less than 15.57

3. 15.75 does not equal 15.57. They are not equal numbers.

4. This means " 15.75 > 15.57" is correct. Even though they are both 15 the number after the decimals are important to look at too. 75 is greater than 57.

4 0
3 years ago
Other questions:
  • A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h   16t 2  28t 8 gives
    8·1 answer
  • PLEASE HELP!!
    15·1 answer
  • Can someone help me i'm bad at this type of stuff will give 100 points
    12·2 answers
  • Sarah deposits $500 into a bank account earning 2% interest per year. The amount
    14·2 answers
  • Question text You have just won the lottery. The Lottery Corporation offers you two options: 1. a lump-sum payment of $400,000,
    13·1 answer
  • Is there another shape with the sum of angles being 180° besides triangle?
    10·1 answer
  • Lets see whos smart<br><br>100 + 50 × 10 =<br><br>​
    6·2 answers
  • Is the following number rational or irrational?
    5·1 answer
  • Equatloh true<br> y + 2.7 = 5.2
    14·1 answer
  • Point L is on line segment KM. Given LM = 5 and KM=9, determine the length KL.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!