Question

8. In a 7-sided polygon, three angles are 120°,
135º and 145º and the remaining four angles
are equal. Find the measure of the four angles.​

Answer 1

Step-by-step explanation:

let LA = 120° LB= 135° LC= 145°

then LD =LE =LF =LG= x ( given)

so, LA+LB+LC+LD+LE+LF+LG = 900°

120°+135°+145°+x+x+x+x= 900°

400+4x = 900°

4x =900°- 400°

4x = 500°

x =500°/4

x =125°

here, x is equal to 125° and according to question four angles are equal to each other . So, x = 125 x = 125 x= 125 x = 125 .

may this help u ...