the measure of the angles of the pentagon are (x-5°),(x-6),(2x-7°),x and (2x-7°)
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the measure of the angles of the pentagon are (x-5°),(x-6),(2x-7°),x and (2x-7°)
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Step-by-step explanation:
Total measure of the interior angles of Pentagon is 360°
So, addition of all angles of Pentagon be 360
We will find out value of x by putting them in equation
So we have,
(x-5)+(x-6)+(x)+(2x-7)+(2x-7)= 360
x-5+x-6+x+2x-7+2x-7=360
7x-25=360
7x=360+25
7x= 385
x= 385/7
x= 55°
so the angles of Pentagon are
1)(x-5)= 55-5= 50°
2)(x-6)= 55-6= 49°
3)(2x-7)= 2*55-7= 110-7= 103°
4)x= 55°
5)(2x-7)=2*55-7= 110-7= 103°