In the figure line l1 is parallel to l2 and line l2 is parallel to l3 . AB is perpendicular to l1 and angle CBF= 55°. Find the value of x, y and z
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Step-by-step explanation:
L3 || L2 , CEB is a transversal
∠FBE + x° = 180° (consecutive interior angles)
55° + x° = 180°
x° = 180° - 55° = 125°
L2 || L1 , CEB is a transversal
x = y = 125° (corresponding angle)
AB is perpendicular to L1 , so it will be perpendicular to L3 also since L1 and L3 are parallel.
z + ∠FBE = 90°
z + 55° = 90°
z = 35°
Answered by
1
35 is the correct answer
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