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(i) as to sides are equal it is an isosceles triangle
so base angles are equal
so x= y
If we consider x as a
then y = a
now,
70+a+a = 180°
70+2a= 180
2a= 110
a=55
means x=y= 55°
(i) 55°
(ii) as again the sides are equal base angels are equal
so y = 50°
now for x
x= y +50( by remote interior angle theorem )
so
x=100°
(iii) y = 30°
vertically opposite angles
iv) the angle whose name is not given in ∆ we will find that
by linear pair angle
angle +110=180
angle = 70°
y = 70° (again base angles)
now for x
x+y+ angle= 180
x+70+70= 180
x =40°
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