Part 1: If ∠b

Question

is 132°
, then which equation should be used to determine the measure of ∠w
?

(1 point)
Responses

w+132=90

w−132=180

w+132=180

b+w=132

Question 2
(1 point)
The measure of ∠w
is ???
degrees.

Answer 1

To determine which equation should be used to find the measure of ∠w given that ∠b is 132°, let's analyze the options:

1. \( w + 132 = 90 \)
2. \( w - 132 = 180 \)
3. \( w + 132 = 180 \)
4. \( b + w = 132 \)

Assuming \( ∠b \) and \( ∠w \) refer to angles in the same scenario, the most relevant equation would depend on the relationship between the two angles. Given that the angles could potentially be supplementary (i.e., they add up to 180°), the equation that relates them in this way is:

Correct Answer: \( w + 132 = 180 \)

Next, to find the measure of \( ∠w \):

1. Start with the equation: \( w + 132 = 180 \)

2. Subtract 132 from both sides:

   \( w = 180 - 132 \)

3. Calculate:

   \( w = 48 \)

So the measure of \( ∠w \) is 48 degrees.