Q21 of 69 Page 9

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

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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