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question 4
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which are the correct measures of the indicated angles?
select one:
a. <w = 146°, <x = 46°, <y = 146°
b. <w = 134°, <x = 46°, <y = 46°
c. <w = 134°, <x =64°, <y = 64°
d. <w = 136°, <x = 44°, <y = 46°

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. Angle $x$ and the $46^{\circ}$ angle are vertical angles, so $x = 46^{\circ}$.

Step2: Identify supplementary angles

Angle $w$ and the $46^{\circ}$ angle are supplementary (a straight - line is $180^{\circ}$). So $w=180 - 46=134^{\circ}$.

Step3: Identify corresponding angles

Angle $y$ and the $46^{\circ}$ angle are corresponding angles (since the two lines are parallel), so $y = 46^{\circ}$.

Answer:

B. $