Question

find x, y and z in the following figures​

Answer 1

Answer:

48 + 90 + y = 180. ( angle sum property)

135+y=180

y=180 - 135

y=45

y = z. ( corresponding angles)

45=z

z+x=180. ( angles in the same side of transversal)

45+x=150

x=150-45

x=105

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Answer 2

Answer:

in triangle,

48+90+y=180

138+y=180

y=180-138=42

in paralellogram,

y+2 angle=180(by linear pair)

42+2 angle=180

2 angle=180-42=138

x=2 angle(opposite angles of paralellogram are equal)

x=138

x+z=180(the sum of corresponding angles of paralellogram is 180)

138+z=180

z=180-138=42

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