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
Elodia [21]
3 years ago
8

An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of t

he interior angles of the triangle?
Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

<em><u>Solution:</u></em>

Given that exterior angle of triangle is 140 degrees

The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

Given that adjacent angles are congruent

Let one of the non adjacent interior angles be "x"

x + x = 140

2x = 140

x = 70

So the two interior angles are 70 degrees and 70 degrees

Let us find the third interior angle

The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees

70 + 70 + third angle = 180

third angle = 180 - 70 - 70

third angle = 180 - 140

third angle = 40 degrees

Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

You might be interested in
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Schach [20]
X: earn per  hour during the week
y: earn per hour during the weekend

13x + 14y = 250.90
15x + 8y = 204.70

Multiply the first equation by 4 and the second equation by 7

52x + 56y = 1003.6
105x + 56y = 1432.90

Subtract the first equation from the second:

 53x = 429.30

x = 429.30/ 53
x = 8.10

Solve any of the equation for y:

15x + 8y = 204.70

y = [204.70 - 15(8.10)]/8 = 10.40

y - x = 10.40 -8.10 = 2.30

Answer: she earns $2.30 per hour more during the weekend than during the week.


8 0
3 years ago
Read 2 more answers
Can somebody please help me out ?
Sever21 [200]

Answer:

30

Step-by-step explanation:

238,900/7,917=30.1755

7 0
2 years ago
Read 2 more answers
How do you interpret a slope and the y- intercept?
nexus9112 [7]
The slope is rise over run, how many times you go up (or if down it'd be a negative) and over.
The y-intercept is what point on the y axis the line passes through
8 0
3 years ago
Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? (Find the 8% tax then add it
dmitriy555 [2]

Answer:

Step-by-step explanation:

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024             Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = 27.324 + 27.324 * 18 /100

Total cost = 4.91832 + 27.324

Total cost = 32.242

Rounded to nearest cent = 32.24     You should always round at the last step.

3 0
3 years ago
At a restaurant, your bill has a food total of $45.50. Find the amount of an 18% tip on the food total.
oksano4ka [1.4K]
$53.69

45.50+8.19 (45.50 times 18%)=$53.69
8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help is it A B C or D
    14·1 answer
  • Use the distributive property to simplify the expression. -7(8x-3)+x
    9·2 answers
  • List numbers that have 24 as a multiple
    15·2 answers
  • The value of 32cos85° is
    14·2 answers
  • Find missing numbers to make equation true.
    7·2 answers
  • There is 200 votes in total so plzzz help me!
    12·1 answer
  • What is the area of a triangle with a base of 7 units and a height of 11 units?
    12·2 answers
  • A radio DJ frequently announces how much money is currently in a jackpot. Every day several randomly selected residents are call
    12·1 answer
  • Learning Task No. 1
    12·1 answer
  • Retrying this question because no one wanted to help on the last one.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!