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