two opposite angle of a parallelogram are (5x-3) and (4x+12) find the measure of each angle of the parallelogram
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41
Answer:
Step-by-step explanation:one angle=5x-3
Another angle=4x+12
Opposite angles of parallelogram are equal
therefore
5x-3=4x+12
5x-4x=12+3
x=15
5x-3=72degree
4x+12=72degree
Answered by
18
We know that,
In a Parallelogram opposite angles are equal. -(it is considered as theorem).
Therefore, (5x-3) = (4x+12)
5x-4x = 12+3. —(by moving 4x in left hand side and moving 3 as right hand side, we get) x =15.
So, (5x-3) =72 and (4x+3) =72 —(because opposite angles are equal in a parallelogram)
So, In parallelogram ABCD, we have
angle B = angle D = 72°
and angle A = angle C. = 108°.
In a Parallelogram opposite angles are equal. -(it is considered as theorem).
Therefore, (5x-3) = (4x+12)
5x-4x = 12+3. —(by moving 4x in left hand side and moving 3 as right hand side, we get) x =15.
So, (5x-3) =72 and (4x+3) =72 —(because opposite angles are equal in a parallelogram)
So, In parallelogram ABCD, we have
angle B = angle D = 72°
and angle A = angle C. = 108°.
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