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Chapter 12: Q9. (page 689)

Use the diagram shown. Identify all pairs of the specified angles.

Complementary angles

Short Answer

Expert verified

In the quadrilateral, 鈭�Aand鈭�D form a complementary angle pair.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Concept used.

If the sum of two angles is 90掳 then the angles are called complementary angles and if the sum is 180掳 then the angles are called supplementary angles.

03

Step 3. Calculation.

The sum of measures of all the possible pairs of angles in the quadrilateral is,

鈭�A+鈭�B=170掳鈭�A+鈭�C=180掳鈭�A+鈭�D=90掳鈭�B+鈭�C=270掳

And,

鈭�B+鈭�D=180掳鈭�C+鈭�D=190掳

In the above list, only the pair 鈭�A,and鈭�D have the sum of their measures equal to 90掳.

04

Step 4. Conclusion.

The pair of complementary angles in the quadrilateral is 鈭�A,and鈭�D.

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Most popular questions from this chapter

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

m鈭�5=95掳m鈭�6=85掳

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

鈭�4and鈭�8

Draw two lines and a transversal intersecting both the lines. Then number the angles and identify both pairs of alternate interior angles.

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

鈭�3and鈭�6

Describe the pattern. (P.772)

80,40,20,10,鈥�
See all solutions

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