For the figure shown, x = 145 and y = 60. Determine the value of w.
Responses
A 8585
B 9595
C 105105
D 145145
E 165
In the figure, we can see that the angles x, y, and w form a straight line. Therefore, we can use the property that the sum of angles in a straight line is 180 degrees.
x + y + w = 180
Substituting the given values:
145 + 60 + w = 180
Combining like terms:
205 + w = 180
Subtracting 205 from both sides:
w = 180 - 205
w = -25
Therefore, the value of w is -25.
None of the provided responses match the value of -25, so the correct answer is not listed.