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Chapter 12: Q1. (page 694)

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

Short Answer

Expert verified

The figure is,

The two pairs of alternate interior angles is ∠4and∠5, and ∠3and∠6.

Step by step solution

01

Step 1. Given Information.

Two lines are given and a transversal intersecting the lines is given.

02

Step 2. Explanation.

Draw two lines mand,nand let l be the transversal intersecting the lines mandn.

Let 1, 2, 3, 4, 5, 6, 7, 8 be the number of angles formed after intersection of line l.

03

Step 3. Figure.

04

Step 4. Identify alternate interior angles.

When two lines are crossed by another line, it is known as transversal.The angles internal to the two parallel lines, in alternate corners of the transversal are called alternate interior angles.

So, the two pairs of alternate interior angles is,

∠4and∠5, ∠3and∠6

05

Step 5. Conclusion.

The two pairs of alternate interior angles is ∠4and∠5, and ∠3and∠6.

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Most popular questions from this chapter

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

∠2and∠6

Find the value of x that makes lines m and v parallel.

Let ∠1and ∠2be complementary angles, and let ∠2and ∠3be supplementary angles. If m∠1=x° and m∠2=2x°, find x. Then find m∠1, m∠2, and m∠3.

Use the given information to find m∠2.

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

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

m∠3=64°m∠4=116°
See all solutions

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