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diamong [38]
2 years ago
11

A pentagon has angles that measure 70 degrees 100 degrees 120 degrees 140 degrees and h. What is h

Mathematics
1 answer:
kakasveta [241]2 years ago
4 0

Answer:

h = 110°

Step-by-step explanation:

1) A pentagon has 5 sides that sum up to 540°. We know it is 540° because of this formula that is used to find the sum of the interior angles of any polygons. <u>n</u> is the number of sides.

= (n - 2) x 180

= (5 - 2) x 180

= 3 x 180

= 540°

2) We can now set up an equation.

70 + 100 + 120 + 140 + h = 540

430 + h = 540

h = 540 - 430

h = 110°

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