Question

Please help me and explain how you got the answer

Answer 1

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