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Answer:
in triangle bcd
y=110
110+30+z=180
z=40
z=x
x=40
Step-by-step explanation:
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Answered by
1
Answer:
x = 40° , y = 110° and z = 40°
Step-by-step explanation: The given figure is a parallelogram.
AB and CD are a parallel and BD is a transversal.
∠ABD = ∠BDC = 30° (alternate interior angles) ........(1)
In Triangle ABD, We have
∠A + ∠ABD + ∠X = 180°(Triangle sum property)
110° +x + 30° = 180° (from equation 1 )
140° + x = 180°
x = 180° - 140°
x = 40°
Similarly, Z = X = 40° ......(2)
Now, In triangle BCD, We have
z + Y + 30° = 180°(triangle sum property)
40° + y + 30° = 180°
70° + y = 180°
y = 180° - 70°
y = 110°
Hence, x = 40° , y = 110° and z = 40°
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