Step-by-step explanation:
<em>2</em><em>:</em><em>1</em><em>0</em><em>:</em><em>1</em><em>6</em><em>=</em><em>2</em><em>/</em><em>1</em><em>0</em><em>=</em><em>1</em><em>/</em><em>5</em><em>÷</em><em>1</em><em>6</em>
<em></em>
<em>1</em><em>/</em><em>5</em><em>×</em><em>1</em><em>/</em><em>1</em><em>6</em>
<em>=</em><em>1</em><em>/</em><em>8</em><em>0</em>
Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees