C 27 (i) Calculate the measures of x and y in the parallelogram ABCD 2 А B 429 56° 100° y 5 80 100 х - D
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Answer:
Step-by-step explanation:
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
∘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
∘
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