katsuki75
katsuki75 katsuki75
  • 25-10-2020
  • Mathematics
contestada

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

if AB CD then find value of angle COS if angle BPO 120 and angle COS x class=

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jimthompson5910 jimthompson5910
  • 25-10-2020

Answer:  angle COS = 30 degrees

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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

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