To determine when line a is parallel to line d, we need to compare the corresponding angles between the two lines: (45x-5)° and (26^w)°.
Since both angles are equal, we can set up an equation:
45x - 5 = 26^w
Now let's examine the answer choices:
1. x = 3, w = 5
Plug in the values: 45(3) - 5 = 26^5
This equation is not true, so this option is not correct.
2. x = 3, w = 6
Plug in the values: 45(3) - 5 = 26^6
This equation is not true, so this option is not correct.
3. x = 1, w = 5
Plug in the values: 45(1) - 5 = 26^5
This equation is true, so this option could be correct.
4. x = 5, w = 3
Plug in the values: 45(5) - 5 = 26^3
This equation is not true, so this option is not correct.
Therefore, the answer is option 3, x = 1 and w = 5.
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 these 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