In the given figure if AB - EF- - ABC-70- and - EFD-40- then find x-

In the above figure, AB||EF ∠ ABC=70^∘ and ∠ EFD=40^∘ ∠ ABC=∠ CEF [Alternate interior angles] ⇒∠ CEF=70^∘ Also, in Δ DEF x=∠ E+∠ F [Exterior angle property of ...

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Byju's Answer

Standard IX

Mathematics

Angle Sum Property of a Triangle

In the given ...

Question

In the given figure if AB || EF, $∠ A B C = 70^{\circ}$ and $∠ E F D = 40^{\circ}$ , then find x.

70^{\circ}

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40^{\circ}

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110^{\circ}

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180^{\circ}

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Solution

The correct option is C $110^{\circ}$

In the above figure, $A B | | E F$
$∠ A B C = 70^{\circ} a n d ∠ E F D = 40^{\circ}$
$∠ A B C = ∠ C E F$
[Alternate interior angles]
$\Rightarrow ∠ C E F = 70^{\circ}$
Also, in $Δ D E F$
$x = ∠ E + ∠ F$ [Exterior angle property of a triangle]
$\Rightarrow x = 70^{\circ} + 40^{\circ} = 110^{\circ}$

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In the given figure if AB || EF, ∠ABC=70∘ and ∠EFD=40∘, then find x.

The correct option is C 110∘ In the above figure, AB||EF ∠ABC=70∘ and ∠EFD=40∘ ∠ABC=∠CEF [Alternate interior angles] ⇒∠CEF=70∘ Also, in ΔDEF x=∠E+∠F [Exterior angle property of a triangle] ⇒x=70∘+40∘=110∘

In the given figure if AB || EF, $∠ A B C = 70^{\circ}$ and $∠ E F D = 40^{\circ}$ , then find x.