Question

Find the measure of
M

Answer 1

• w = x = t = s = 152°
• v = y = u = r = 28°

Kind Note:

Since there is no M in the transversal, I am going to find all the angles given in the transversal. If I have misunderstood your question, kindly post it in the comments. Thank you!

Solution:

We know that:

• x = 152°
• y = 28°

Step-by-step explanation:

• w = x = 152° because of 'Vertically opposite angles'.
• v = y = 28° because of 'Vertically opposite angles'.
• v = u = 28° because of 'Alternate inner angles'.
• w = t = 152° because of 'Alternate inner angles'.
• s = t = 152° because of 'Vertically opposite angles'.
• u = r = 28° because of 'Vertically opposite angles'.

Hence, this concludes that:

• w = x = t = s = 152°
• v = y = u = r = 28°
  

Answer 2

Then:

m<W = 152°

v = y = u = r = 28°

Step-by-step explanation:

In order to find the measure of angle W, take into account that lines p and q are parallel. Then, anlge W is congruent to angle x=152°. More specifically, angle W and x are vertical angles.

Then:

m<W = 152°