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Chapter 12: Q33. (page 696)

In Exercises 32 and 33, use the diagram.

Which numbered angles have the same measure as ∠1? Explain your reasoning.

Short Answer

Expert verified

m∠1=m∠3=m∠4=m∠7

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Concept Used.

In the parallel line and its transversal corresponding angles are equal, vertically opposite angles are equal and also alternate exterior angles are equal.

03

Step 3. Explanation.

In the diagram,

m∠1=m∠3 (Vertically opposite angles)

m∠1=m∠4 (Corresponding angles)

m∠1=m∠7 (Alternate exterior angles)

Thus, m∠1=m∠3=m∠4=m∠7.

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Most popular questions from this chapter

In Exercises 6 and 7, use the given information to find m∠2.

∠1 and ∠2 arecomplementary angles, and m∠1=45°.

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

m∠1=10°m∠2=70°

Use diagram shown.

  1. For ΔABC and ΔDEC, find the measure of each angle and the length of each side.
  2. How are ΔABC andΔDEC related? Explain your reasoning.

In Exercises 29 and 30, tell whether a triangle exists for the given description. If so, classify the triangle by its angles. If not, explain why not.

Two of the angles are supplementary.

Use the given information to find m∠2.

∠1 and ∠2 aresupplementary angles, and m∠1=137°.
See all solutions

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