Question

The sum of a pair of opposite angles of a parallelogram is 156degree. Find the remaining angles.​

Answer 1

opposite angle of a parallelogram are equal

therefore

156=2×angle

angle=78°

sum of angle on same side of parallelogram is 180

78°+the remaining angle =180°

the remaining angle(a)=180-78

=102°

other remaining angle(b) Is also 102°

as that is opposite to (a)

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Answer 2

Answer:

answer:144 degree

Step-by-step explanation:

angle 1 + angle 2 + angle 3 + angle 4 = 360°

putting the values of angle

angle 1+2=156°

let angle 3 and angle 4 be x

therefore, 156°+ x + x = 360°

therefore, 2x=360°-156°

therefore, 2x=144°

therefore, x=144/2

x=72°

angle 3 and 4 = 72°