Math, asked by aryanyuvraj96, 17 days ago

In each of the following figures AB || CD. Find the value ofx in each case.
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Answered by Anonymous
8

If AB||CD

draw a line || to AB through E say PQ

so that AB||PQ||CD...

If AB line is extended backwards then a straight line must be formed

and a straight line makes an angle of 180⁰

so

say a line OAB

angle OAE+BAE=180⁰

angle OAE=180⁰-104⁰

=76⁰

then angle AEQ=76⁰

Alternate interior angle

Similarly extend CD backwards

say SCD

then angle SCE=180⁰-116⁰

=64⁰

then angle SCE=CEQ= 64⁰

and value of x⁰= angle AEQ+CEQ

=76⁰+64⁰

=140⁰

ANSWER

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Answered by ThisIsYourFriend
2

Answer is in the attachment

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