In each of the following figures AB || CD. Find the value ofx in each case.
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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
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