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Lesson: Sum of the Interior Angles of a Polygon

Video

09:56

Sample Question Videos

Worksheet • 12 Questions • 1 Video

Q1:

Given that 𝐴 𝐡 𝐢 𝐷 𝐸 is a regular pentagon, find π‘š ∠ 𝐴 𝐡 𝑋 .

Q2:

Given that 𝐴 𝐡 𝐢 𝐷 𝐸 is a regular pentagon, find π‘š ∠ 𝐴 𝐡 𝑋 .

Q3:

Given that 𝐴 𝐡 𝐢 𝐷 𝐸 𝐹 is a regular hexagon, find π‘š ∠ 𝐴 𝐡 𝑋 .

Q4:

Given that 𝐴 𝐡 𝐢 𝐷 𝐸 𝐹 is a regular hexagon, find π‘š ∠ 𝐴 𝐡 𝑋 .

Q5:

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

Q6:

Calculate π‘š ∠ 𝐡 + π‘š ∠ 𝐢 .

Q7:

From the information in the figure, what is π‘š ∠ 𝐢 𝐷 𝐸 ?

  • A 1 4 1 ∘
  • B 1 0 3 ∘
  • C 6 7 ∘

Q8:

In the figure, segments 𝐸 𝐷 and 𝐡 𝐺 meet at 𝐴 . If π‘š ∠ 𝐹 = 9 0 ∘ , π‘š ∠ 𝐺 = 9 7 ∘ , π‘š ∠ 𝐸 = 9 7 ∘ , π‘š ∠ 𝐷 = 1 3 7 ∘ , and π‘š ∠ 𝐢 = 9 5 ∘ , find π‘š ∠ 𝐡 .

Q9:

In the figure, if π‘š ∠ 𝐴 = 1 3 7 ∘ , π‘š ∠ 𝐡 = 7 8 ∘ , π‘š ∠ 𝐢 = 1 1 3 ∘ , and π‘š ∠ 𝐸 = 1 3 1 ∘ , find π‘š ∠ 𝐷 .

Q10:

In the figure, if π‘š ∠ 𝐴 = 9 4 ∘ , π‘š ∠ 𝐡 = 1 0 1 ∘ , π‘š ∠ 𝐢 = 1 2 7 ∘ , and π‘š ∠ 𝐸 = 1 4 9 ∘ , find π‘š ∠ 𝐷 .

Q11:

In the figure, if π‘š ∠ 𝐴 = 1 4 0 ∘ , π‘š ∠ 𝐡 = 6 5 ∘ , π‘š ∠ 𝐢 = 1 2 0 ∘ , and π‘š ∠ 𝐸 = 1 3 1 ∘ , find π‘š ∠ 𝐷 .

Q12:

In the following figure, what is π‘š ∠ 𝐹 𝐴 𝐡 in the hexagon 𝐴 𝐡 𝐢 𝐷 𝐸 𝐹 ?

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