Question

Find the values of a and b in the image below

Answer 1

The value of a is 240°
The value of b is 120°

Explanation:
The given figure is a hexagon, as it has six sides.

The sum of the interior angles of a hexagon equals 720°.

Since all the angles of a regular hexagon are equal, all interior angles will equal to b°.

Thus, 6b° = 720°

b° = (720/6)°

b° = 120° ..... (1)

Similarly, a° and b° are supplement angles. So, they will add up to 360°.

Thus, a° + b° = 360°

a° = 360° - 120° (from 1)

a° = 240°

Answer 2

the name of the polygon is hexagon, bcos it has 6sides

the total value if regular hexagon is 720 using the formula of (n-2)180

where n= number of side

therefore (6-2)*180 =720

divide 720 by 6 = 120 for each interior angle

therefore b=120

to find a

a = 360 - 120= 240