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Chapter 12: Q2. (page 701)

Draw a quadrilateral and show one exterior angle at each vertex.

Short Answer

Expert verified

The polygon is a quadrilateral.

Step by step solution

01

Step 1. Given Information.

The polygon is a quadrilateral.

02

Step 2. Draw.

A quadrilateral ABCD with exterior angles 鈭�IAJ, 鈭�ODP, 鈭�LBK, and 鈭�MCN each on its respective vertex is shown below.

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Most popular questions from this chapter

Find the value of xin the figure. Then find the unknown angle measures.

Challenge: Use the diagram.

  1. Write expressions for m鈭�1,m鈭�2,andm鈭�3 in terms of x and y. Explain your reasoning.
  2. Use the expressions you wrote in part (a) to show that the sum of the measures of the angles in 螖ABC is 180掳.

As shown in the diagram, the two structures of the Puerta de Europa (Door of Europe) in Madrid, Spain, lean toward each other at an angle of 15掳from the vertical.

  1. In the diagram, 鈭�1 and the angle that measures 15掳 are complementary angles. Find m鈭�1.
  2. Tell whether 鈭�1and 鈭�2 arecomplementary or supplementary angles. Then use your answer to part (a) to find m鈭�2.

Find the measures of the numbered angles in the diagram.

Tell whether the angles are complementary, supplementary, or neither.

m鈭�3=64掳m鈭�4=116掳
See all solutions

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