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In a parallelogram ABCD, if ∠A = (2x + 25)° and ∠B = (3x - 5)°, the value of x is:
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Answers
Answered by
1
Step-by-step explanation:
In a parallelogram ABCD
angleA =2x+25°
angle B =3x-5°
value of x is equal to
2x+25+3x-5=180°
5x+20=180
5x=180-20
5x=160
x=160÷5
x=32
Answered by
1
Answer:
32°
Step-by-step explanation:
Given :
A = (2x + 25)°
B = (3x - 5)°
Property :
Any two adjacent angles of a parallelogram add up to 180°.
Reason :
In a parallelogram, A and B are supplementary angles, since they lie on the same side of the transversal. (Considering AB as the transversal)
Procedure :
Hence, A + B = 180°
=> 2x° + 25° + 3x° - 5° = 180°
=> 5x° + 20° = 180°
=> 5x° = 160°
Hence x = 32°.
Thanks !
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