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A hexagon has angles that measure 145.8, 118.5,151.6,100.4,130.8 and u. What is u?

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greynose | Student, Undergraduate | Honors

Posted August 21, 2011 at 1:06 AM via web

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A hexagon has angles that measure 145.8, 118.5,151.6,100.4,130.8 and u. What is u?

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giorgiana1976 | College Teacher | Valedictorian

Posted August 21, 2011 at 1:11 AM (Answer #1)

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We'll recall the fact that the sum of all interior angles of a regular polygon is:

S = (n-2)*180, where n is the number of sides.

A hexagon has 6 sides, therefore the sum of internal angles is:

S = 4*180

S = 720 degrees

The angles of hexagon are given, except the measure of u.

145.8 + 118.5 + 151.6 + 100.4 + 130.8 + u = 720

u = 720 - (145.8 + 118.5 + 151.6 + 100.4 + 130.8)

u = 72.9 => u = 73.3 degrees

The missing angle of hexagon, u, measures 73.3 degrees.

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