Q. 21

In Fig. 9.46, what is z in terms of x and y?

A. x + y +180

B. x + y -180

C. 180° - (x + y)

D. x+y+360°

Answer :

In given that,

x = A + B (Exterior angles)

z = A (Vertically opposite angles)

y = A + C (Exterior angles)

We know that,

A + B + C= 180o

z + x - A + y - A = 180o

-z = 180o – x – y

z = x + y – 180o

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