Question

. In the following figure, find the value of x + y + z.
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Answer 1

We know sum of all exterior angles of triangle = 360
So x + y + z = 360

Answer 2

x+60=180(linear pair)

x=120

z+45=180

z=135

60+45+m=180(angle sum property of triangle)

105+m=180

m=75

m+y=180

75+y=180

y=105

x+y+z

120+105+135

=360