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Step-by-step explanation:
12) let say interior angles are x,y and z
so x+y+z=180. ----eq1
the exterior angle of x is 180 -x
and same way y is 180-y
and z is 180-z
so add all of them
180-x+180-y+180-z = 540-(x+y+z)
= 540-180(from 1)
= 360
hence proved
13)
c =p since PQ!! ST
so c=20
same way angle a = angle b
we know that c+30+b=180
20+30+b=180
b=180-50=130
so a=b=130 (corresponding angels)
14)
given A =B+C
we know that A+B+C =180
A+(B+C)=180
A+A =180
2A=180
A=180/2
A=90
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