Question

in figure AB||CD, then the value of x is:
a) 35°
b) 40°
c) 60°
d) 75°​

Answer 1

Answer:

75°

Step-by-step explanation:

draw line that divides x in half

alternate angles equal they come in z pattern and x/2=40°

another x/2=35°

x=75°

Answer 2

Solution :-

Draw a line EF which is parallel to AB and CD .

So, AB || EF

→ Angle at EF = 180° - 140° = 40° { Angle between parallel lines on same sides are supplementry. }

now, EF || CB .

then,

→ Angle at EF = 35° { Alternate angles .}

therefore,

→ x = 40° + 35° = 75° (Ans.) (d)

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