Question

The four angles of a heptagon are equal to each of the other three is 20degree greater than each of the first four. Find the angles

Answer 1

Answer:

210°, 210°, 210°, 210°, 20°, 20°, 20°

Step-by-step explanation:

Let,

the four equal angles of heptagon = x°, x°, x°, x°

and

other three angles = 20°, 20°, 20°

we know that,

sum of all angles = (n-2)x180°

n=7, for heptagon, then

x°+x°+x°+x°+20°+20°+20° = (7-2)x180°

4x°+60° = 5x180°

4x°+60° = 900

4x° = 840°

x° = 210°.