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#1**0 **

"The interior acute angles are congruent" tells you it is a regular pentagram, so the measure of interior acute angle = 180/5 = 36 degrees. (I divided by 5 because it is a pentagram(5-gram) .)

Now you draw a straight line like this:

Calculate the angles in the triangle formed:

the base angles of the isosceles triangle is 72 degrees.

As the line drawn is a straight line, so the exterior angle is 108 degrees.

Measure of internal reflex angle = 72 * 2 + 108 degrees = 252 degrees

MaxWong Sep 1, 2018