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Mathematics

Answered

A regular polygon has a measure of (8x+6) and a measure of (4x+12) find the measure of each angle please show work

Answer :

calculista calculista

Today at 1:20 PM

Answer:

The measure of each angle is 18°

Step-by-step explanation:

we know that

A regular polygon is a polygon whose all sides are equal and also all angles are equal.

so

In this problem

[tex](8x+6)=(4x+12)[/tex]

Solve for x

[tex](8x-4x)=(12-6)[/tex]

[tex]4x=6[/tex]

[tex]x=1.5[/tex]

Substitute the value of x

[tex](8x+6)=8(1.5)+6=18\°[/tex]

therefore

The measure of each angle is 18°

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