In the given figure- if AB-CD- - APQ-50- and - PRD-127- find the value of y-

Given AB and CD are parallel lines. PR is intersecting both parallel nbsp;lines so it is nbsp;a transversal. Then, ∠ APR=∠ PRD nbsp; nbsp; nbsp; nb ...

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Byju's Answer

Standard IX

Mathematics

Trigonometric Ratio(sin,cos,tan)

In the given ...

Question

In the given figure, if $A B | | C D, ∠ A P Q = 50^{\circ} a n d ∠ P R D = 127^{\circ}$ , find the value of y.

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Solution

Given AB and CD are parallel lines. PR is intersecting both parallel lines so it is a transversal.

Then,
$∠ A P R = ∠ P R D$ [alternate angles] (1 marks)
$\Rightarrow 50^{\circ} + y = 127^{\circ}$
$\Rightarrow y = 77^{\circ}$ (1 marks)

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In the given figure, if AB||CD,∠APQ=50∘ and ∠PRD=127∘, find the value of y.

Given AB and CD are parallel lines. PR is intersecting both parallel lines so it is a transversal. Then, ∠APR=∠PRD [alternate angles] (1 marks) ⇒50∘+y=127∘ ⇒y=77∘ (1 marks)

In the given figure, if $A B | | C D, ∠ A P Q = 50^{\circ} a n d ∠ P R D = 127^{\circ}$ , find the value of y.

Given AB and CD are parallel lines. PR is intersecting both parallel lines so it is a transversal.

Then,
$∠ A P R = ∠ P R D$ [alternate angles] (1 marks)
$\Rightarrow 50^{\circ} + y = 127^{\circ}$
$\Rightarrow y = 77^{\circ}$ (1 marks)