In figure AB | | DC, 2x=3y and 5y=6z Then values if x, y and z respectively
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Solution :-
→ 2x = 3y
→ x/y = 3/2
→ x : y = 3 : 2
and,
→ 5y = 6z
→ y/z = 6/5
→ y : z = 6 : 5
So,
→ x : y : z = 9 : 6 : 5
now, since AB || DC ,
→ (y + z) + x = 180° { Angle between parallel lines are supplementry .}
→ 6m + 5m + 9m = 180°
→ 20m = 180°
→ m = 9°
therefore,
→ x = 9m = 9 * 9 = 81°
→ y = 6m = 6 * 9 = 54°
→ z = 5m = 5 * 9 = 45°
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