Question

in the following parallelogram find the missing values​

Answer 1

Answer:

Step-by-step explanation:

x + 45 + 90 = 180

x = 180 - 135

x = 45

z = 90 (Vertically Opposite Angles)

45 = y (Alternate Interior Angles as LO II MN while OM is transversal)

Answer 2

Answer:

y = 45

alternate interior angles

angle LPM = 90

LPM = z

vertically opposite angles

therefore z = 90

x + LPM + PML = 180

by angle sum property

x+ 90 + 45 = 180

x = 180 - 135

x = 45

x = 45, y = 45, z = 90