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Chapter 12: Q13. (page 695)

Which angles have the same measure as 鈭�1 in the diagram?

Short Answer

Expert verified

The angles that have the same measure as 鈭�1 are 鈭�4,鈭�5,and鈭�8.

Step by step solution

01

Step 1. Given Information.

The provided figure is

02

Step 2. Concepts used.

Transversal and parallel lines

When two lines are crossed by another line, it is known as transversal. If two parallel lines are intersected by a transversal line then the corresponding angles are equal, alternate interior angles and alternate exterior angles are equal.

03

Step 3. Explanation.

Since vertically opposite angles are equal, m鈭�1=m鈭�4.

Since鈭�1 and 鈭�5 are a pair of corresponding angles,m鈭�1=m鈭�5.

Since 鈭�1 and 鈭�8 are a pair of corresponding angles, m鈭�1=m鈭�8.

04

Step 4. Conclusion.

The angles that have the same measure as 鈭�1 are 鈭�4,鈭�5,and鈭�8.

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Most popular questions from this chapter

Solve the equation by first clearing the fractions.

710x-15=38

Find the measures of the numbered angles in the diagram.

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.

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

m鈭�3=146掳m鈭�4=44掳

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