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The diagram shows a convex polygon, what is the value of t?

The diagram shows a convex polygon, what is the value of t?-example-1

1 Answer

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Sum of the interior angles of a pentagon is 720 degrees. Sum of two angles that form a bisected line is 180 degrees. So interior angles going clockwise are 138 degrees. 128 degrees. 119 degrees. 180- 2*t degrees. And 180 - 3*t degrees. So sum of angles is:
138+128+119+(180 - 2*t) + (180 - 3*t) = 720

25 = 5*t

t = 5 degrees.
User Lars Francke
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