Answer:
54 degrees
Step-by-step explanation:
The opposite angles in a parallelogram are equal.
At least one other angle must be equal to 54°.
Given that, you are told that one of the internal angles of a parallelogram is 54°.
A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. There are four angles in a parallelogram at the vertices. Understanding the properties of parallelograms helps to easily relate their angles and sides. Also, the properties are helpful for calculations in problems relating to the sides and angles of a parallelogram.
The four important properties of parallelogram angles and sides are as follows:
The opposite sides of a parallelogram are equal and parallel to each other.
Opposite angles are equal, i.e ∠A = ∠C, and ∠B = ∠D.
All the angles of a parallelogram add up to 360°, i.e. ∠A + ∠B + ∠C + ∠D = 360°.
The consecutive angles of a parallelogram are supplementary, i.e.,
∠A + ∠B = 180°
∠B + ∠C = 180°
∠C + ∠D = 180°
∠D + ∠A = 180°
Now, since opposite angles are equal, then the other angle must be equal to 54°.
Therefore, at least one other angle must be equal to 54°.
To learn more about the angles of parallelogram visit:
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