Answer:
D
Step-by-step explanation:
Straight line (straight angle) is always 180 degrees.
The angle adjacent to 115 and 115 degree angle would sum up to 180 (straight line).
So, that angle would be:
180 - 115 = 65
Now, we know the triangle's 2 angles: 85 (given) and 65 (found), thus we can find the third angle (leftmost):
85 + 65 + third angle = 180 [sum of 3 angles in a triangle is 180]
150 + third angle = 180
third angle = 180 - 150
third angle = 30
This third angle is adjacent to w and forms a straight line, so we can write:
third angle + w = 180
30 + w = 180
w = 180 - 30
w = 150
Correct answer is D
