Question

Two similar triangles are shown below which two sets of angles are corresponding angles p and q

Answer 1

Answer:   p = 30  q = 30 (if not touching edge of hexagon but if it is touching edge one of the pairs) then p or q = 120  and p and q = 30

Step 1)  Sum of an interior angle of a polygon = 720 degree where n = 6 as 6 exterior sides =  (n-2) * 180 = (6-2) * 180 = 4 * 180 = 720 degree   Where the measure of each angle of a hexagon = 720/ 6 = 120 degree   Step 2) Then show 3 angle letter names = 180 degree     Step 3) Angle name letters + 2 angle (other two names letters inside within triangle) add up to 180 degree    Step 3) State since triangle name (of all letters within one triangle) is Isosceles   Step 4) Triangle (state same triangle letters with number 2 in front) = 180 - 120 = 60  then state triangle (letter name) / 2 = 30 degrees obviously the 120 and 60 differentiates if not a hexagon to a pentagon if not a hexagon =  (3 *180) / 5 = 108  then due to isosceles (180 - 108)/ 2  = 72/2 = 36 degree for a pentagon or 30 degree each for p + q for a hexagon etc