To determine if line a is parallel to line d, we need to compare the corresponding angles.
The angle formed by the intersection of line a and the other intersecting line is given as (45x-5)°.
The angle formed by the intersection of line d and the same intersecting line is given as (26^w)°.
For the lines to be parallel, the corresponding angles must be equal. Hence, we need to set up the equation:
(45x-5)° = (26^w)°
To find the values of x and w that satisfy this equation, we can solve it using answer choices.
1. x = 3, w = 5:
(45(3) - 5)° = (26^5)°
135° - 5° = 11,881,376°
The equation is not satisfied, so this is not the correct answer.
2. x = 3, w = 6:
(45(3) - 5)° = (26^6)°
135° - 5° = 308,915,776°
The equation is not satisfied, so this is not the correct answer.
3. x = 1, w = 5:
(45(1) - 5)° = (26^5)°
40° - 5° = 11,881,376°
The equation is not satisfied, so this is not the correct answer.
4. x = 5, w = 3:
(45(5) - 5)° = (26^3)°
220° - 5° = 17,576°
The equation is satisfied, so this is the correct answer.
Therefore, the values of x and w for which line a is parallel to line d are:
x = 5, w = 3. Answer: 4. x = 5, w = 3.
For which values of x and w is line a parallel to line d? Image shows that line a and line d are parallel. There is an intersecting line that creates three angles: (45x-5)°;(16x+2)°;(26^w)°. Choose one answer choice.
1. x=3, w=5
2. x=3, w=6
3. x=1, w=5
4. x=5, w=3
1 answer