A convex hexagon has interior angle measures of p, 2p–48°, 2p–50°, p+13°, p+49°, and p–40°. What is the value of p?

1 Answer
Sahar Mulla ❤
Feb 25, 2018

A hexagon has 6 sides, so the sum total of all its interior angles would be, #(6-2)180^@= 4xx180 = 720^@#

Therefore,

#p+ 2p–48°+ 2p–50°+ p+13°+p+49°+p–40°=720#

#8p-48-50-40+13+49=720#

#8p=720+76= 796#

#p=99.5#

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