can anyone help me with this plzzz :)
Answers
Angle x = 80°
(x - 5) = 75°
(x - 6) = 74°
(2x -7) = 153°
x = 80°
(2x - 2) = 158°
Step-by-step explanation:
We know that ASP of a Pentagon = 540°
The angles are
- (x - 5)°
- (x - 6)°
- (2x - 7)°
- (x)°
- (2x - 2)
We know that
(x - 5) + (x - 6) + (2x -7) + (x + (2x -2) =540°[ASP of Pentagon
Adxd all the x terms = x + x +2x + x + 2x = 7x
Then the numerical terms = (-5) (-6) (-7) (-2) = (-20)
So, 7x - 20 = 540°
7x = 540 + 20
7x = 560
x = 560/7
x = 80°
So, we got x as 80°
So, The other angles are
- x - 5 = 80 - 5 = 75°
- x - 6 = 80 - 6 = 74°
- (2x -7) = 2 × 80 - 7 = 153°
- x = 80°
- 2x - 2 = 2 × 80 - 2 = 158°
Checking
To check our answer we can add all the angles of the pentagon and check whether our sum is 540°.
75°+ 74° + 153°+ 80° + 158° = 540°
So our answer is correct
Add To Your Knowledge
To find the angle sum of any polygon we can use the formula
- (n - 2) × 180.
Where n is the number of sides of the polygon.
Eg : Pentagon
In pentagon there are 5 sides. The angle sum of the Pentagon = (n - 2) × 180
- 5 - 2 × 180
- 3 × 180 = 540°
ASP of Pentagon = 540°
Answer:
I just love the fact that you love one direction.
same here anyway
heartbreak when they seperate
good night