Question

The angles of a pentagon are x°, (x+20°),(x+40°),(x+60°),(x+80°).Find the measures of the angles ​

Answer 1

Sum of the angle of pentagon is 540°

so,

x+x+20+x+40+x+60+x+80=540°

5x+200=540

5x=340

x=340/5

x=68°

So

NOW PUT THE VALUE OF X

Answer 2

Answer:

sum of total angles of any figure is= 180(x-2)

180(5-2)= 180*3= 540°..

therefore sum of total angles of Pentagon is 540°.

x+x+20+x+40+x+60+x+80= 540

5x+200= 540

5x= 340

x= 340/5

x= 68°.

therefore angles are-

x= 68°

x+20= 68+20= 88°

x+40= 68+40= 108°

x+60= 68+60= 128°

x+80= 68+80= 148°.

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