Question

find the value of x and y each of the following figure​

Answer 1

Answer:

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Step-by-step explanation:

Correct option is C)

∠CAB=80

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[apposite angle]

As AB=AC

∴x=∠ACB

Also, by angle sum property, we have

x+x+80=180

2x=100

x=50

y=80+x=130 exterior angle property

x=50

y=130

Answer 2

Answer:

i) ∠x = ∠ 55° (Vertically opposite angle)

∠x + ∠y = 180° (Adjacent angles)

55° + ∠y = 180° (Linear pair angles)

Therefore, ∠y=180° - 55° = 125°

∠y = ∠z

Hence, ∠x=55° , ∠y=125° and ∠125°