Math, asked by priya1199, 1 month ago

in the figure L ll m , if angle1=110° , find angle2

(pls can you show the given ,to find and also reason)​

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Answers

Answered by MoodyCloud
163

Answer:

∠2 is 110°

Step-by-step explanation:

Given :

  • ∠1 is 110°.

To find :

  • Measure of ∠2.

Solution :

By first method :

We know,

✿ When two lines intersect or bisect each other than their vertical opposite angles are equal or we can say "Vertically opposite angles" .

So,

 \leadsto ∠1 = x = 110°

We also know,

✿ Sum of two interior angles lie between two lines and same side of transversal are equal to 180° or we can say "Co- interior angles" .

So,

 \leadsto x + y = 180°

 \leadsto 110° + y = 180°

 \leadsto y = 180° - 110°

 \leadsto y = 70°

Now,

✿ Sum of all angles forms on straight line is equal to 180° or we can say "Linear pair" .

So,

 \leadsto y + ∠2 = 180°

 \leadsto 70° + ∠2 = 180°

 \leadsto ∠2 = 180° - 70°

 \leadsto 2 = 110°

Thus,

∠2 is 110°.

By second method :

 \leadsto ∠1 = x = 110° [Vertically opposite angles]

Now, By corresponding angle :

 \leadsto x = ∠2 = 110°

Thus,

2 is 110°.

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Answered by Anonymous
230

Answer:

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In the figure L || m .If angle 1 =110degree.Find angle 2.

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 \sf\tt\large{\blue {\underline {\underline{\;The \;value \;of \;angle \;2 \;is \;110 degree:}}}}

 \sf\tt\large{\green {\underline {\underline{⚘\;Solution:}}}}

Hey mate,

Here refer the attachment for more information.

kindly read it for answer.

Hope it helps u mate.

Thank you .

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