3
You visited us
3
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
The sides BA ...
Question
The sides BA and DC of the parallelogram ABCD are produced as shown in figure. Then
A
∠
a
=
∠
x
+
∠
y
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
∠
a
=
∠
b
=
1
2
(
∠
x
+
∠
y
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
∠
y
=
∠
a
−
∠
b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
∠
a
+
∠
b
=
∠
x
+
∠
y
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
∠
a
+
∠
b
=
∠
x
+
∠
y
In the given figure, AB || DC
∴
∠
a
=
∠
x
⋯
(
1
)
[Alternate Interior Angles]
And
∠
b
=
∠
y
⋯
(
2
)
[Alternate Interior Angles]
Adding (1) and (2), we get
∠
a
+
∠
b
=
∠
x
+
∠
y
Suggest Corrections
0
Similar questions
Q.
Sides AB and CD of a quadrilateral ABCD are produced as shown in the following figure. Show that
∠
x
+
∠
y
=
∠
a
+
∠
b
.