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Chapter 3: Q36. (page 115)

If the sum of the measures of two angles is 180掳, then the angles are ?.

Short Answer

Expert verified

If the sum of two angles say鈭�1and鈭�2 is 180掳, then the angles are supplementary.

Step by step solution

01

Step 1. To find the linear pairs of angles.

The two angles鈭�1 and 鈭�2 are linear pairs of angles whose sum is 180掳 as follows 鈭�1卤=180掳.

02

Step 2. Use the property of linear angles.

The linear pairs of angles are also called supplementary whose sum is 180掳.

03

Step 3. Find the supplementary angles.

The supplementary angles are 鈭�1 and 鈭�2 whose sum is 180掳.

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Most popular questions from this chapter

Alan tried to prove Postulate 10 as shown below. However, he did not have valid proof. Explain why not.

If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Given k鈭�l; transversal tcuts kand I

Prove: 鈭�1鈮�鈭�2

Statement

Reason

1.k鈭�l

Given

2.鈭�3鈮�鈭�2

If two parallel lines are cut by transversal then alt. int. 鈭�sare鈮�

3.鈭�1鈮�鈭�3

Vert. 鈭�sare鈮�

4.鈭�1鈮�鈭�2

Transitive Property

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

鈭�14and鈭�16

Copy and complete the proof of Theorem 3-4. Given: Transversal tcuts Iand n;

t鈯�l;l鈭�n

Prove: t鈯�n

Name the two lines and the transversal that form each pair of angles.

and

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

See all solutions

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