one angle of a parallelogram measures 120 degrees . what are the measures the other angles in the parallelogram?
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Answered by
7
one angle is 120.
other two are180-120=60
each will be 30
other two are180-120=60
each will be 30
Answered by
12
Construct a parallelogram ABCD.
Let known angle be A=120.
It is well known that opposite angles are equal in a parallelogram.
Now,
A=C=120
B=D=?
Angle sum property of a quadrilateral,
A+B+C+D=360
=>2A+2B=360.
=>2(A+B)=360
=>A+B=180
=>B=180-A=180-120=60.
Hence,the measure of angles is A=C=120 and B=D=60
Let known angle be A=120.
It is well known that opposite angles are equal in a parallelogram.
Now,
A=C=120
B=D=?
Angle sum property of a quadrilateral,
A+B+C+D=360
=>2A+2B=360.
=>2(A+B)=360
=>A+B=180
=>B=180-A=180-120=60.
Hence,the measure of angles is A=C=120 and B=D=60
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