Question

find value of x if AB ll EF. given values are angle ABC=70° angle DFE=40°

Answer 1

HELLO !!

HERE IS YOUR ANSWER,

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Given :- AB ll EF

ABC = 70

DFE = 40

To find = x
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B = E ( Alternate interior angle )

E = 70
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In triangle DEF

DEF + EFD + EDF = 180 ( Angle sum property )

70 + 40 + EDF = 180

110 + EDF = 180

EDF =180 - 110

EDF = 70
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EDF + X = 180 ( LINEAR PAIR )

70 + X = 180

X = 180 - 70

X = 110

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HOPE IT HELPS U !!

✌✌

Answer 2

$\huge{HEY!!}$
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In the following figures,

We have been given with two triangles and their one angle

By this information, we have find out ∠CDF

ANSWER:-

If AB || EF, then ∠ABC = ∠DEF
So,
∠DEF = 70°

∠DEF + ∠EFD + ∠FDE = 180° (A.S.P)

70° + 40° + ∠FDE = 180°
110° + ∠FDE = 180°
∠FDE = 180° - 110°
∠FDE = 70°

∠FDE + ∠CDF = 180° (Linear Pair)
70° + ∠CDF = 180°
∠CDF = 180° - 70°
∠CDF = 110°

Hence, the value of x will be 110°.