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natta225 [31]
3 years ago
9

The measures of four interior angles of a pentagon are 63º, 119º, 125º, and 116º. which is the measure of the fifth interior ang

le?
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0
The sum of interior angles of a pentagon is given by:
(n-2)*180
where
n=number of sides
thus the sum of angles in a pentagon will be:
(5-2)*180
=540
hence to evaluate the missing angles we shall proceed as follows:
sum of the given angles is:
63+119+125+116
=423
thus the missing angle, x, will be:
x+423=540
x=540-423
x=117°

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