Question

If AB || CD, then find value of angle COS, if angle BPO = 120 + - and angle COS = x

Answer 1

Answer: angle COS = 30 degrees

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Step-by-step explanation:

Angle BPO is congruent to angle POC because they are alternate interior angles and because AB is parallel to CD. So angle POC is 120+x degrees

This adds with angle COS to get 180

(angle POC) + (angle COS) = 180

(120+x) + (x) = 180

2x+120 = 180

2x = 180-120

2x = 60

x = 60/2

x = 30

angle COS = x = 30

angle POC = 120+x = 120+30 = 150

angle BPO = angle POC = 150