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sasho [114]
3 years ago
13

The measures of each exterior angle in a regular hexagon is (4x + 15)°. Find the value of x. Show equations and all work that le

ads to your answer.

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

x=11.25

Step-by-step explanation:

Given that the measures of each exterior angle in a regular hexagon is (4x + 15)°.

Hexagon means there are 6 sides.

We know that sum of all exterior angles of a regular polygon is always 360 degree.

So if there are n sides of polygon then we can write formula:

nA=360

where n= number of sides = 6

A=(4x + 15)°  {given each interior angle is equal to (4x + 15)°}


plug these into above formula:

6(4x + 15)°=360°

4x + 15=60

4x = 45

4x = 45

x=11.25

<u>Hence final answer is x=11.25.</u>

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