Question

PLEASE HELP 15 POINTS The sum of the measures
of seven out of ten angles
in a decagon is 1086°. If the
three remaining angles are
equal in measure, what is the
measure of each angle?

Answer 1

Answer:

118

Step-by-step explanation:

1440-1086= 354

354/3=118

Answer 2

The measure of each angle is 118 degrees

The given parameters are:

• Shape: Decagon
• Seven angles add up to 1086
• The remaining three angles are congruent

The sum of interior angles of a decagon is 1440.

Let each of the remaining three angles be represented with x.

So, we have:

$1086 + 3x = 1440$

Collect like terms

$3x = 1440 - 1086$

$3x = 354$

Divide both sides by 3

$x = 118$

Hence, the measure of each angle is 118 degrees

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