1. In a Rhombus ABCD, measure of angle CAB is 30°, what is the measure of angle ABC?
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By: anil on 05 May 2019 02.15 am
Given : ABCD is a rhombus and $$angle$$ CAB = 30°
To find : $$angle$$ ABC = ? Solution : Diagonals of a rhombus bisect each other at 90° and also bisect the angles of the rhombus. In $$ riangle$$ AOB => $$angle$$ AOB + $$angle$$ OBA + $$angle$$ BAO = 180° => 90° + 30° + $$angle$$ OBA = 180° => $$angle$$ OBA = 180° - 120° = 60° $$ herefore$$ $$angle$$ ABC = $$2 imes$$ $$angle$$ OBA = $$2 imes 60 = 120$$° => Ans - (B)
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To find : $$angle$$ ABC = ? Solution : Diagonals of a rhombus bisect each other at 90° and also bisect the angles of the rhombus. In $$ riangle$$ AOB => $$angle$$ AOB + $$angle$$ OBA + $$angle$$ BAO = 180° => 90° + 30° + $$angle$$ OBA = 180° => $$angle$$ OBA = 180° - 120° = 60° $$ herefore$$ $$angle$$ ABC = $$2 imes$$ $$angle$$ OBA = $$2 imes 60 = 120$$° => Ans - (B)