Question

the measure of the angles of the pentagon are (x-5°),(x-6),(2x-7°),x and (2x-7°)​

Answer 1

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°