Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z. Which pair of angles is supplementary? ∠RXZ and ∠YXZ ∠PXQ and ∠RXS ∠YZX and ∠UZT ∠WZX and ∠XYZ
a
In triangle XYZ, angles X and Z are both right angles since they are formed by the intersection of horizontal lines PS and WT with diagonal line QR. Therefore, angle Y is the only acute angle in triangle XYZ.
Next, we can see that angle RXZ and angle YXZ are adjacent angles that form a linear pair. Since a linear pair of angles adds up to 180 degrees, angle RXZ and angle YXZ are supplementary and their sum is 180 degrees.
Therefore, the correct pair of supplementary angles in this triangle are ∠RXZ and ∠YXZ.
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