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Chapter 12: Q1. (page 689)

Copy and complete: The sum of the measures of two? angles is 90掳.

Short Answer

Expert verified

The sum of the measures of two complementary angles is90掳.

Step by step solution

01

Step 1. Given Information.

The sum of the measures of two ? angles is 90掳.

02

Step 2. Explanation.

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.

In other words, it can also be stated that adjacent angles that form a right angle are complementary and adjacent angles that form a straight angle are supplementary.

Therefore, the sum of the measures of two complementary angles is 90掳.

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Most popular questions from this chapter

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

m鈭�3=146掳m鈭�4=44掳

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

m鈭�3=118掳m鈭�4=72掳

Use a compass and a straightedge to draw a segment whose length is the sum of the lengths of the given segments.

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, m鈭�1=95掳and m鈭�3=45掳. Tell whether the statement is true or false. Explain your reasoning.

  1. 鈭�2 and 鈭�3are corresponding angles.
  2. 鈭�2 and 鈭�3 have equal measures.
  3. 鈭�2 and 鈭�3are complementary angles.
  4. The sum of the measures of 鈭�1,鈭�2and 鈭�3is 180掳.

Use the diagram. For lines mand nto be parallel, what must the value of xbe?

  1. Tell whether the labelled angles are corresponding, alternate interior, or alternate exterior angles.
  2. Write an equation that relates the angles measures.
  3. Solve the equation for x.
See all solutions

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