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Two adjacent angles of a parallelogram are (2x + 50) and (3x + 30). What
special name can you give to this parallelogram.
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Answer:
∠D=72
Explanation:
Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.
Since the adjacent angles of a parallelogram are supplementary.
∠A+∠B=180
o
⇒3x+2x=180
o
⇒5x=180
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⇒x=
5
180
o
=36
o
∴∠3×36
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=108
o
and, ∠B=2×36
o
=72
o
Since the opposite angles are equal in a parallelgram, therefore, ∠C=∠A=108
o
and ∠D=∠B=72
o
Hence, ∠A=108
o
,∠B=72
o
,∠C=108
o
and ∠D=72
o
Please mark me as brainliest
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