2 years ago

PLLLZZZ HELP and explain how you got it

Mathematics

1 answer:

stiks02 [169]2 years ago

8 0

Answer: x = 149 degrees

Work:

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Zina [86]

Answer:

$60^{\circ}$

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides $=\dfrac{360^{\circ}}{n}$

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon $=\dfrac{360^{\circ}}{6}=60^{\circ}$

Since ∠I is an exterior angle of the regular hexagon, therefore, $\angle I=60^{\circ}$ .

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