In a||gm ABCD, if `angle A = 115^(@), " find " angle B,.`
A
`75^(@)`
B
`85^(@)`
C
`65^(@)`
D
`55^(@)`
Text Solution
Verified by Experts
The correct Answer is:
C
Let ABCD be a ||gm in which `angle A = 115^(@)`. Since AD || BC and AB cuts them, so `angle A + angle B = 180^(@)` `rArr 115^(@)+angle B=180^(@)` `rArr angle B =(180^(@) -115^(@))=65^(@)`. Since the opposite angles of a||gm are equal , we have `angle C = angle A = 115^(@) and angle D =angle B = 65^(@)`. Hence, `angle B =65^(@), angle C = 115^(@) and angle D = 65^(@)` .
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