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
r-ruslan [8.4K]
3 years ago
11

Find the value of X for the given pentagon?

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

x = 44°

Step-by-step explanation:

The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.

Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.

To find the missing angle, first write an equation representing the given rule:

102° + 47° + 34° + 133° + x° = 360°

(316°) + x° = 360°

316° + x° - 316° = 360° - 316°

x° = 44°.

This way, because the rule must be true, the missing angle with this value will satisfy this:

102° + 47° + 34° + 133° + <u>44°</u> = 360°

For this topic, here are some general angle rules for polygons:

  • n is the number of sides
  • 180° (n – 2) = sum of interior angles of any polygon.
  • 180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].
  • 360° = sum of exterior angles of any polygon.
  • 360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].
You might be interested in
I need help with this question
AlexFokin [52]
A
Find the two intersections of the lines. The value of x of the intersections will satisfy the system of equations.
Brainliest pls!
3 0
2 years ago
What's the points distance I need help!​
KATRIN_1 [288]

Answer:

Step-by-step explanation:

3.6

6 0
2 years ago
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
kari74 [83]
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

4 0
3 years ago
Read 2 more answers
What changes could you make to values assigned to outcomes to make the game fair? Prove that the game would be fair using expect
ozzi
For a definite answer, let us take a look at the given circle graph. You are given that landing on a blue sector will give 3 points, landing on a yellow sector will give 1 point, purple sector will give 0 points and red sector will give -1 point. You are asked to find the probability of landing -1, 0, 1 and 3 points. There are a total of 7 pie graphs in the circle.

For -1 point, you know that only a red sector will give you a negative one point. In the circle graph, there are two red portions. So you will have a probability of 2/7.

For the 0 point, you know that only a purple sector will give you zero point. In the circle graph, there are two purple portions. So you will have a probability of 2/7.

For the 1 point, you know that only a yellow sector will give you one point. In the circle graph, there are two yellow portions. So you will have a probability of 2/7.

For the 3 points, you know that only a blue sector will give you three points. In the circle graph, only one blue portion is shown. So you will have a probability of 1/7.
5 0
3 years ago
Read 2 more answers
How do I create a box plot of minutes it takes to get ready for school?
Alecsey [184]
A box plot is something like this....: http://prntscr.com/jeao6q If you follow that example, you should be able to create one.
Hope this helps!
8 0
3 years ago
Other questions:
  • Sofia is buying new skis. She finds that the average price of skis is $500 but the actual price could differ from the average as
    9·1 answer
  • If you sleep 8 hours out of 24 hours, what percentage of the time do you sleep?
    8·2 answers
  • Jasica Parker would like to have ​$46,000 to buy a new car in 6 years. To accumulate $ 46,000 in 6 ​years, how much should she i
    11·1 answer
  • Calculate sin B in reduced fraction form. Use a slash to separate numerator from denominator, such as 2/3 for "two-thirds."
    9·1 answer
  • When constructing a prependicular bisector why must the compass opening be greater than 1/2 the length of the segment ?
    5·1 answer
  • -13 can be classified as a whole number, interger, or rational number
    7·2 answers
  • In circle C, PA and PB are tangents. If PA = 12 and PC = 13, find the length of ED. If you answer can you give the step-by-step
    5·1 answer
  • Question: A square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between t
    11·1 answer
  • Helppp I will make u a brainlist!!
    15·2 answers
  • (6+5/x)²<br>pls help me​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!