find the angles of parallelogram abcd in which angleA=2angleB.
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Answer:
AngleA=60°
AngleB=120°
AngleC=60°
AngleD=120°
Step-by-step explanation:
Given:- A parallelogram in which
AngleA=AngleB
To find:- Angle(A,B,C,D)
Solution:- In parallelogram ABCD
AngleA + AngleB = 180°
{co-interior angles are supplementary}
or, 2angleB + AngleB= 180°(angleA = 2angelB)
or, 3angleB=180°
or,. angleB=180/3=60°
=> AngleA= 2×60=120°
Now,
angleA=angleC=120° ( opp. angles of parallelogram)
and,
angleB=angleD=60° (opp.angles of parallelogram)
hope you like it....
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