Find the alternate interior angles- -1 and -7-4 and -6-2 and -8-3 and -5

The correct options are B ∠4 and ∠6 D ∠3 and ∠5Alternate interior angles nbsp; have different vertices are on either side of the transversal lie between t ...

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Byju's Answer

Standard VII

Mathematics

Alternate Interior Angles Theorem

Find the alte...

Question

Find the alternate interior angles.

∠

1 and

∠

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∠

4 and

∠

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∠

2 and

∠

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∠

3 and

∠

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Solution

The correct options are
B $∠$ 4 and $∠$ 6
D $∠$ 3 and $∠$ 5
Alternate interior angles

have different vertices

are on either side of the transversal

lie between the two lines.

Hence, $∠$ 4 and $∠$ 6, and, $∠$ 3 and $∠$ 5 are alternate interior angles.
Here, $∠$ 1 and $∠$ 7, and $∠$ 2 and $∠$ 8 are alternate exterior angles.

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Similar questions

Q. In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.

Corresponding angles.
(1) ∠p and ☐
(2) ∠q and ☐
(3) ∠r and ☐
(4) ∠s and ☐

Interior alternate angles.
(5) ∠s and ☐
(6) ∠w and ☐

Add using number line:

(1) 5 and 3

(2) 6 and 2

(3) (−3) and (+5)

(4) 8 and (−12)

(5) (−7) and 5

(6) 10 and (−14)

(7) (−5) and (−2)

(8) (+6) and (−9)

(9) (−4) and (−1)

(10) 1 and (−5)

Q. Observe the angles shown in the figure and write the following pair of angles.

(1) Interior alternate angles
(2) Corresponding angles
(3) Interior angles

Q. Match the following using the given map as reference.

Pairs of corresponding angles	∠3 and ∠5, ∠4 and ∠6
Pairs of alternate interior angles	∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8
Pairs of alternate exterior angles	∠1 and ∠7, ∠2 and ∠8

Match the following:

$\begin{matrix} a . I n t e r i o r a n g l e s o n t h e s a m e s i d e o f t h e t r a n s v e r s a l & (i) 1 - 5, 2 - 6, 3 - 7 a n d 4 - 8 b . A l t e r n a t e e x t e r i o r a n g l e s & (i i) 4 - 6, 3 - 5 c . C o r r e s p o n d i n g a n g l e s & (i i i) 1 - 7, 2 - 8 d . A l t e r n a t e i n t e r i o r a n g l e s & (i v) 3 - 6, 4 - 5 \end{matrix}$

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