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1.(a).. Angle ADC +90° = 180. (linear pair.)
So angle ADC = 90
As we know that the sum of all the angle in a quadrilateral is 360°.
so, 70+60+90+x=360
220+x=360
x=360-220
So the value of x is 140°.
(b). We know that the sum of interior angl of quadrilateral is 360°.
So let angle ADC be y.
y+140+95+40=360
y=360-275
y=85°.
x+y=180. (linear pair)
x+85=180
x=180-85
x=95°.
So the value of x is 95°.
(c) Again we know that the sum of all the angles of quadrilateral is 360°.
In this all angles are eual.
So, x+x+x+x=360
4x=360
x=90°.
So the value of x is 90
And also we can say that it is a square.
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