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Sindrei [870]
3 years ago
6

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

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

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) <u>Triangle (state same triangle letters with number 2 in front) = 180 - 120 = 60  then state triangle (letter name) / 2 = 30 degrees </u>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 p<u>entagon </u>or 30 degree each for p + q for a <u>hexagon</u> etc

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