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
tester [92]
2 years ago
9

Work out the sizes of each unknown exterior angle in this polygon

Mathematics
1 answer:
goldenfox [79]2 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

The exterior angle to interior angle is

exterior angle = 180° - 110° = 70°

Sum the exterior angles and equate to 360

x + 2x + 70 + 2x - 50 + x + 40 = 360 , that is

6x + 60 = 360 ( subtract 60 from both sides )

6x = 300 ( divide both sides by 6 )

x = 50

Then measure of exterior angles is

x = 50°

2x = 2 × 50 = 100°

x + 40 = 50 + 40 = 90°

2x - 50 = 2(50) - 50 = 100 - 50 = 50°

You might be interested in
Jessica has an account with a credit union. Her account earns 2.2% simple interest yearly. Exactly a year and a half ago, she op
Sergeu [11.5K]
Interest earned= \frac{PRT}{100}
I=\frac{900*2.2*1.5}{100}
I= <span>$ 29.70</span>
6 0
3 years ago
What is the missing reason in the proof
exis [7]

Answer:

corresponding angles

5 0
3 years ago
What do people need to earn income?<br>​
Zanzabum

Answer:

a job, chores, doing good

7 0
3 years ago
Give the inequality. PLEASE HELP ASAP, THANK YOU
Reil [10]

Answer:

-3\le x\le 1

or

|x+1|\le2


5 0
3 years ago
(09.02)
Ivenika [448]

Answer:

4th option

Step-by-step explanation:

x² - 2x - 3 = 0 ( add 3 to both sides )

x² - 2x = 3

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 3 + 1

(x - 1)² = 4

4 0
2 years ago
Other questions:
  • The angles in a triangle are in the ratio 2:3:4. Find the size of the smallest angle.
    14·1 answer
  • Joshua has 3 yards of ribbon. He needs 1/4 yard to make 1 bow. How many bows can Joshua make? Break down problem.
    13·1 answer
  • Kay is drawing a triangle. Two of the sides have an equal length of 8 cm, and the angle between those sides measures 68°. Which
    13·1 answer
  • Need help quick ASAP!!!!!<br> Please!!!!!
    14·2 answers
  • If P(A) = 0.996, what is the value of P(A)?
    7·1 answer
  • Find the value of X in the figure PQ is tangent to O at P
    9·1 answer
  • Isabel offers to buy a team photo for 8 of her teammates,
    12·1 answer
  • Hi how to do quetion3?​
    8·1 answer
  • Jose has scored 726 points on his math tests so far this semester. To get an A for the semester, he must score at least 767 poin
    12·1 answer
  • Pls help! 30 points!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!