In the figure above, lines $k, l,$ and $m$ intersect at a point. If $x + y = u + w$ , which of the following must be true?
I. $x = z$
II. $y = w$
III. $z = t$

I and II only

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I and III only

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II and III only

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I, II, and III

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Solution

The correct option is B I and III only

$y^{\circ} = u^{\circ}$
$x^{\circ} = l^{\circ}$
$w^{\circ} = z^{\circ}$
$x + y = u + w$
$l^{\circ} + u^{\circ} = u^{\circ} + w^{\circ}$
$x = t^{\circ} = w^{\circ} = z^{\circ}$
$z = w^{\circ} = t^{\circ}$
I and III are true

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In the figure above, lines k,l, and m intersect at a point. If x+y=u+w, which of the following must be true?I. x=zII. y=wIII. z=t

The correct option is B I and III onlyy∘=u∘x∘=l∘w∘=z∘x+y=u+wl∘+u∘=u∘+w∘x=t∘=w∘=z∘z=w∘=t∘I and III are true

In the figure above, lines $k, l,$ and $m$ intersect at a point. If $x + y = u + w$ , which of the following must be true?
I. $x = z$
II. $y = w$
III. $z = t$

The correct option is B I and III only

$y^{\circ} = u^{\circ}$
$x^{\circ} = l^{\circ}$
$w^{\circ} = z^{\circ}$
$x + y = u + w$
$l^{\circ} + u^{\circ} = u^{\circ} + w^{\circ}$
$x = t^{\circ} = w^{\circ} = z^{\circ}$
$z = w^{\circ} = t^{\circ}$
I and III are true