Find the value of x.

Mathematics

1 answer:

Anni [7]3 years ago

8 0

Answer:

x = 18°

Step-by-step explanation:

The sum of interior angles of any polygon is given by:

180(n -2) , where n is the number of sides of that polygon.

So for this pentagon;

The sum of its interior angles = 540°

∴

90 + (9x -6) + (3x + 23) + 95 + (7x - 4) = 540

19x + 198 = 540

19x = 540 - 198 = 342

x = 342 ÷ 19 = 18°

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