Question

Find the degree of w

Answer 1

By the external angle of a triangle theorem 142 = w + 49

So w = 142 - 49 = 93 degrees (answer)

Answer 2

Sum of angles of a linear pair = 180. So angle with measurement 142 and the adjacent angle to it have a sum = 180.

THerefore 142+y=180

Subtracting 142 from both sides

y = 38

Now in the down right sides corner triangle

38+49+w=180

87+w=180

Subtracting 80 from both sides,

w = 93

So the measurement of angle w = 93 .