To determine which equation should be used to find the measure of ∠w given that ∠b is 132°, we need to consider the relationship between the angles. Without additional context about the relationship between ∠b and ∠w (such as whether they are supplementary, complementary, or another type of relationship), we can typically infer some possible relationships:
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If angles ∠b and ∠w are supplementary (add up to 180°), you would use the equation: \[ w + 132 = 180 \] This means the correct choice is: w + 132 = 180
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If angles ∠b and ∠w are complementary (add up to 90°), you would use the equation: \[ w + 132 = 90 \] But this scenario doesn't work since 132° exceeds 90°.
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If you have a scenario, such as where ∠w is equal to the angle that would be supplementary to ∠b, the equation would be w + b = 132. This makes sense if ∠w is an angle that compensates to form a triangle or a configuration where b and w relate directly.
Given the most common scenario—∠b and ∠w being supplementary—it makes sense to use: \[ w + 132 = 180 \]
For Question 2, finding the measure of ∠w: \[ w + 132 = 180 \] Subtracting 132 from both sides gives: \[ w = 180 - 132 \] \[ w = 48° \]
So the measure of ∠w is 48 degrees.