If AB and CD are parallel- find the measure of angle x 15-105-21-51-

The correct option is C 21° AB is parallel to CD Therefore, ∠ EGC = 180^∘−(2x+3x) Also ∠ EGC = ∠ AFG = 75^∘ ⇒ 180^∘−(2x+3x)=75^∘ ⇒ −5x=75^∘−180^∘ ⇒ 5x=105^∘ ...

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Byju's Answer

Standard VII

Mathematics

Alternate Interior Angles

If AB and CD ...

Question

If AB and CD are parallel, find the measure of angle x

15°

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105°

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21°

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51°

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Solution

The correct option is C
21°

AB is parallel to CD

Therefore,

$∠ E G C = 180^{\circ} - (2 x + 3 x)$

Also

$∠ E G C = ∠ A F G = 75^{\circ}$

$\Rightarrow 180^{\circ} - (2 x + 3 x) = 75^{\circ}$

$\Rightarrow - 5 x = 75^{\circ} - 180^{\circ}$

$\Rightarrow 5 x = 105^{\circ}$

$\Rightarrow x = 21^{\circ}$

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If AB and CD are parallel, find the measure of angle x

The correct option is C 21° AB is parallel to CD Therefore, ∠EGC=180∘−(2x+3x) Also ∠EGC=∠AFG=75∘ ⇒180∘−(2x+3x)=75∘ ⇒−5x=75∘−180∘ ⇒5x=105∘ ⇒x=21∘