In a parallelogram ABCD, find the value of x and y if ∠A =
,
∠B = ( − )
, ∠C = ( + )
Answers
Answered by
0
Since ABCD is a parallelogram, AB∥DC and AD∥BC
Now, AB∥DC and transversal BD intersects them.
∴∠ABD=∠BDC since alternate angles are equal.
⇒10x=60
∘
⇒x=
10
60
∘
=6
∘
And, AD∥BC and transversal BD intersects them.
∴∠DBC=∠ADB
⇒4y=28
∘
⇒y=
4
28
∘
=7
∘
Answered by
1
In Parallelogram ABCD, ∠A and ∠Bare adjacent angles. Then, we have ∠A and ∠B as consecutive interior angles which must be supplementary. Hence, the sum of ∠A and ∠B is 180°.
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