ABE -60 and - EF D -35- then x -A- 20-B- 25- 30-D- 60-

The correct option is B 25^∘ (i) AB||CD..........(given) (ii) ∴∠ CEF = ∠ ABF = 60^∘........(corresponding angles) (iii) x^∘ + 35^∘ = 60^∘.....(exterior angle ...

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Standard VI

Mathematics

Construction of Triangles When Two Sides and the Included Angle Are Given

ABE =60 and ∠...

Question

In the given figure AB||CD If $∠ A B E = 60$ and $∠ E F D = 35^{\circ},$ then x = ___

$20^{\circ}$

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$25^{\circ}$

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$30^{\circ}$

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$60^{\circ}$

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Solution

The correct option is B
$25^{\circ}$

(i) AB||CD..........(given)

(ii) $∴ ∠ C E F = ∠ A B F = 60^{\circ}$ ........(corresponding angles)

(iii) $x^{\circ} + 35^{\circ} = 60^{\circ}$ .....(exterior angle)

$x^{\circ} = 25^{\circ}$

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In the given figure AB||CD If ∠ABE=60 and ∠EFD=35∘, then x = ___

The correct option is B 25∘ (i) AB||CD..........(given) (ii) ∴∠CEF=∠ABF=60∘........(corresponding angles) (iii) x∘+35∘=60∘.....(exterior angle) x∘=25∘

In the given figure AB||CD If $∠ A B E = 60$ and $∠ E F D = 35^{\circ},$ then x = ___

The correct option is B
$25^{\circ}$

(i) AB||CD..........(given)

(ii) $∴ ∠ C E F = ∠ A B F = 60^{\circ}$ ........(corresponding angles)

(iii) $x^{\circ} + 35^{\circ} = 60^{\circ}$ .....(exterior angle)

$x^{\circ} = 25^{\circ}$