Find the values of the angles x, y and z in the following figure.

x = 55^{\circ}, y = 135^{\circ} a n d z = 135^{\circ}

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x = 35^{\circ}, y = 145^{\circ} a n d z = 125^{\circ}

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x = 55^{\circ}, y = 125^{\circ} a n d z = 125^{\circ}

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x = 45^{\circ}, y = 225^{\circ} a n d z = 25^{\circ}

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Solution

The correct option is C $x = 55^{\circ}, y = 125^{\circ} a n d z = 125^{\circ}$
$x = 55^{\circ} [Vertically opposite angles] N o w, 55^{\circ} + y = 180^{\circ} [Linear pair] \Rightarrow y = 180^{\circ} - 55^{\circ} = 125^{\circ} A l s o y = z = 125^{\circ} [Vertically opposite angles] T h u s, x = 55^{\circ}, y = 125^{\circ} a n d z = 125^{\circ}$

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Find the values of the angles x, y and z in the following figure.

The correct option is C x=55∘,y=125∘ and z=125∘x=55∘ [Vertically opposite angles]Now,55∘+y=180∘ [Linear pair]⇒y=180∘−55∘=125∘Also y=z=125∘ [Vertically opposite angles]Thus, x=55∘,y=125∘ and z=125∘