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Answers
Answer:
x= 50 y= 60 z=70 ok you make it by linear pair or alternate or corresponding rules
Answer:
⇒Since BD parallel to CE,
⇒angle D = angle E (corresponding angles)
120 degree = angle E
⇒Angle E + y = 180 degree (Linear Pair)
120 degree + y = 180 degree
y = 180 - 120 degree
y = 60 degree
⇒angle B = z (alternate interior angles)
70 degree = z
⇒angle ABD = angle B (vertically opposite angles)
angle ABD = 70 degree
⇒angle ADB + angle D = 180 degree (linear pair)
angle ADB + 120 degree = 180 degree
angle ADB = 180 - 120 degree
angle ADB = 60 degree
⇒In triangle ABD
angle ABD + angle ADB + angle BAD = 180 degree (angle sum property)
70 degree + 60 degree + x = 180 degree
130 degre + x = 180 degree
x = 180 - 130 degree
x = 50 degree
⇒Hence x = 50 degree, y = 60 degree and z = 70 degree
Hope it helps.
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