IN THE FIGURE <ABC= 30° ,< EDF= (40-X)° , <ADE= (13X+20)° SHOW THAT BC IS PARALLEL TO DE
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given that:-
angle ABC=30°
angle EDF=40-x
angle ADE=13x+20
EDF+ADE=180°
40-X+13X+20=180°
60+12X=180
12X=120
X=10°
so angle EDF=30°
now angle EDF=angleABC=30°
both of these are alternate angles
and alternate angles are formed only with parallel lines when transversal cut it .
here || lines are BC and DE
transversal is AF
angle ABC=30°
angle EDF=40-x
angle ADE=13x+20
EDF+ADE=180°
40-X+13X+20=180°
60+12X=180
12X=120
X=10°
so angle EDF=30°
now angle EDF=angleABC=30°
both of these are alternate angles
and alternate angles are formed only with parallel lines when transversal cut it .
here || lines are BC and DE
transversal is AF
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