Question

1) 1260°
2) 1040
0) 100
5.
If the angles of a Hexagon are (x-5), (x-5), (x-5), (2x-5), (2x-5), (x-55), then x =
3) 90°
2) 80°
4) 100°
1) 60°​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{x=100°</p><p>,Option 4}}}}$

Step-by-step explanation:

Given :-

the angles of a Hexagon are (x-5), (x-5), (x-5), (2x-5), (2x-5), (x-55),

To find:-

Find the value of X

Solution:-

the angles of a Hexagon are (x-5), (x-5), (x-5), (2x-5), (2x-5), (x-55),

We know that the sum of all interior angles of a hexagon is 720°

=>(x-5)+(x-5)+(x-5)+(2x-5)+(2x-5)+(x-55)=720°

=>8x-80=720°

=>8x=720°+80°

=>8x=800°

=>x=800°/8

=>x=100°

Answer:-

The value of x=100°

Used formula:-

If number of sides is "n" then sum of all interior angles of a regular polygon is (n-2)×180°

No.of sides in Hexagon=6

Sum of all interior angles of a Hexagon=(6-2)180°

=>4×180°

=>720°