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
julia-pushkina [17]
3 years ago
9

Two angles form a linear pair. The measure of one angle is 24º more than the measure of the other angle. Find the measure of eac

h angle.
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

The measures of the two angles are 78° and 102°

Step-by-step explanation:

<em>When two lines intersects at a point, then pairs of linear angles are formed</em>

  • The linear pair of angles are adjacent angles the sum of their measures is 180°

∵ The two angles form a linear pair

∴ The sum of the two angles = 180°

∵ The measure of one of them = 24° more than the measure

    of the other angle

→ Assume that the smaller one is x, then the greater one is

   x + 24, add them up and equate their sum by 180°

∵ x + x + 24 = 180

→ Add the like term in the left side

∴ 2x + 24 = 180

→ Subtract 24 from both sides

∴ 2x + 24 - 24 = 180 - 24

∴ 2x = 156

→ Divide both sides by 2

∴ 2x/2 = 156/2

∴ x = 78°

∴ The smaller angle = 78°

∵ The larger angle is x + 24

∴ The larger angle = 78 + 24 = 102°

The measures of the two angles are 78° and 102°

You might be interested in
Is this correct? will mark as brainliest
dalvyx [7]

They are correct,

Answer: x ≥-3

4 0
2 years ago
Devin will equally divide 23 tablespoon of oregano into 4 spice mixes. How much oregano will he put in each of the 4 spice mixes
Tatiana [17]
6 tablespoons in each
4 0
3 years ago
Read 2 more answers
What is the x intercept of 2x + 4y = 20
zhuklara [117]

Answer:

10

Step-by-step explanation:

x- intercept is where the equation intersect the x-axis. So, at x-axis y = 0

2x + 4*0 = 20

           2x = 20

Divide both sides by 2

2x /2 = 20/2

x = 10

4 0
3 years ago
Read 2 more answers
In a certain​ country, the true probability of a baby being a girlgirl is 0.4810.481. among the next sixsix randomly selected bi
Ilia_Sergeevich [38]
Probability of the next six babies being a girl  = (0.4810)^6 = 0.0124

Therefore probability of at least one boy in next six births = 1 - 0.0124

=  0.9876  Answer


4 0
3 years ago
What is 3/15 in simplest form
gizmo_the_mogwai [7]

Answer:

3/15 in the simplest form is 1/5....

when you divide by 3 it gives 1/5.

8 0
3 years ago
Other questions:
  • If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of getting exactly 0 twos?
    14·1 answer
  • What is 12 and 3/4 as a decimal
    13·1 answer
  • 'A certain number divided by four, added to twice that number equals 12', all written in an equation​
    12·1 answer
  • How many square feet of outdoor carpet will we need for this hole​
    12·1 answer
  • What is the largest number that should be added to –11 to get a sum less than –5?
    6·1 answer
  • Solve for x<br> 3.5x=24.5
    10·1 answer
  • Find the point that splits segment AB in half if point A is located at (4, 3) and point B is located at
    15·1 answer
  • Levi prepares 3 kilograms of dough every hour he works at the bakery. How many hours did Levi work if he prepared 27 kilograms o
    15·1 answer
  • **only one question** ____ tens = 3700
    12·1 answer
  • Which of the following statements is true <br><br><br><br> There’s the image bellow
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!