Question

1550
02A complete and cosite any two activities for the
follocoing
BO PORe is a parallelogram 2055°
the complete the follocoing scting to
find measure of demaining ongles of
O PQRS
20 PQRS is a parallelogram-giveo
[Interior angles are supplementoog]
国
= 180°
= 180° - 550 = 2.50
in But LP = L
and
5
in Lat L
= 1800
2
opposite angles of parallelogram
7 L R =
and sa
G​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

These are the various types of solved problems on parallelogram.

1. Prove that any two adjacent angles of a parallelogram are supplementary.

Solution:

Let ABCD be a parallelogram

Problems on Parallelogram

Then, AD ∥ BC and AB is a transversal.

Therefore, A + B = 180° [Since, sum of the interior angles on the same side of the transversal is 180°]

Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠D + ∠A = 180°.

Thus, the sum of any two adjacent angles of a parallelogram is 180°.

Hence, any two adjacent angles of a parallelogram are supplementary.