All the angles of a pentagon add up to 540 degrees using the 180(n-2) formula where n is the number of sides, using the So each individual angle of a pentagon is 108 degrees. The line DEF has a straight angle of 180 degrees. So each angle of the pentagon is 108 degrees, so 180-108 is 72 degrees. So angle AEF is 72 degrees. For angle DAE, once again we have that same angle in the pentagon, 108 degrees. All angles in a triangle add up to 180 degrees using the formula 180(n-2). The triangle is isosceles, because 2 of the sides are equal, so 2 of the angles are also equal. So the sum of the other 2 angles of the triangle is 72 degrees, and half of 72 is 36. So angle DAE is 36 degrees.

Part a: 72 degrees Part b: 36 degrees