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Byju's Answer

Standard IX

Mathematics

Angles in a Transversal

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

Match the following:

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

Match the following:

$\begin{matrix} a. Interior angles on the same side of the transversal & (i) 1 - 5, 2 - 6, 3 - 7 and 4 - 8 b. Alternate exterior angles & (ii) 4 - 6, 3 - 5 c. Corresponding angles & (iii) 1 - 7, 2 - 8 d. Alternate interior angles & (iv) 3 - 6, 4 - 5 \end{matrix}$

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 ☐

Match the following:

$\begin{matrix} a . Interior angles on the same side of the transversal & (i) 1 - 5, 2 - 6, 3 - 7 a n d 4 - 8 b . Alternate exterior angles & (i i) 4 - 6, 3 - 5 c . Corresponding angles & (i i i) 1 - 7, 2 - 8 d . Alternate interior angles & (i v) 3 - 6, 4 - 5 \end{matrix}$

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)

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