No but an equilateral triangle does.
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Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
There are only 4 possible numbers which could be measures of the angles for the quadrilateral. Each of the infinitely many other measures, such as 36.57 degrees, could NOT be the measure.
Equilateral triangles have three congruent sides and three congruent angles