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In this lesson, we will learn how to find the sum of the interior angles of a polygon given the number of its sides.

Q1:

Given that π΄ π΅ πΆ π· πΈ is a regular pentagon, find π β π΄ π΅ π .

Q2:

Q3:

Given that π΄ π΅ πΆ π· πΈ πΉ is a regular hexagon, find π β π΄ π΅ π .

Q4:

Q5:

The measures of the interior angles of a pentagon satisfy the ratio 3 βΆ 4 βΆ 4 βΆ 4 βΆ 5 . What is the measure of the smallest angle?

Q6:

Calculate π β π΅ + π β πΆ .

Q7:

From the information in the figure, what is π β πΆ π· πΈ ?

Q8:

In the figure, segments πΈ π· and π΅ πΊ meet at π΄ . If π β πΉ = 9 0 β , π β πΊ = 9 7 β , π β πΈ = 9 7 β , π β π· = 1 3 7 β , and π β πΆ = 9 5 β , find π β π΅ .

Q9:

In the figure, if π β π΄ = 1 3 7 β , π β π΅ = 7 8 β , π β πΆ = 1 1 3 β , and π β πΈ = 1 3 1 β , find π β π· .

Q10:

In the figure, if π β π΄ = 9 4 β , π β π΅ = 1 0 1 β , π β πΆ = 1 2 7 β , and π β πΈ = 1 4 9 β , find π β π· .

Q11:

In the figure, if π β π΄ = 1 4 0 β , π β π΅ = 6 5 β , π β πΆ = 1 2 0 β , and π β πΈ = 1 3 1 β , find π β π· .

Q12:

In the following figure, what is π β πΉ π΄ π΅ in the hexagon π΄ π΅ πΆ π· πΈ πΉ ?

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