PLS TELL this question ab is parallel to cd and cd is parallel to de,TELL THE VALUES X, Y, Z
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90° + X + Y = 180° [ Supplementary Angle ]
so X + Y = 90°
i.e. Y = 90°- X ------- (i)
Again, 40° + ? = 180° [ Linear Pair ]
? = 140°
Now, Y + ? = 180° [ Supplementary Angle ]
90° - X + 140° = 180° [ From Eqn (i) ]
- X = 180° - 230°
-X = -50°
i.e X= 50°
Now, X + Y = 90° [ see 2nd line ]
50° + Y = 90°
Y = 40°
Since,
? = Z [ corresponding angle ]
140° = Z
i.e the values of X, Y, Z are 50°, 40° and 140° respectively.
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