List out all the exterior angles from the following figure.

∠

1 and

∠

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∠

3 and

∠

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∠

5 and

∠

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∠

7 and

∠

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Solution

The correct options are
A $∠$ 1 and $∠$ 2
D $∠$ 7 and $∠$ 8
l and m are two lines cut by the transversal p. The angles that lie outside l and m when cut by transversal p are called exterior angles.

Thus, $∠$ 1, $∠$ 2 , $∠$ 7 and $∠$ 8 are exterior angles.

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

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Q. Answer the questions with reference to the adjoining figure.

(1) Which triangles include points M and N?

(2) Which triangles have point E on their exterior?

(3) Which triangles have seg PS as a common side?

(4) Name the triangles in which ∠PTR is an exterior angle.

(5) Which triangles include points E, M and N?

(6) Of which triangles does ∠PSQ from an exterior angle?

(7) Which points in the figure are in the exterior of all triangles?

(8) Which points are outside ∆PQS but inside ∆PTR?

(9) Identify and name the exterior angles of ∆PST.

(10) List the triangles of which ∠PQS is an angle.

(11) Of which triangles is R a vertex?

(12) Which points lie outside ∆PST?

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List out all the exterior angles from the following figure.

The correct options are A ∠ 1 and ∠ 2 D ∠ 7 and ∠ 8l and m are two lines cut by the transversal p. The angles that lie outside l and m when cut by transversal p are called exterior angles. Thus, ∠ 1, ∠ 2 , ∠ 7 and ∠ 8 are exterior angles.

The correct options are
A $∠$ 1 and $∠$ 2
D $∠$ 7 and $∠$ 8
l and m are two lines cut by the transversal p. The angles that lie outside l and m when cut by transversal p are called exterior angles.

Thus, $∠$ 1, $∠$ 2 , $∠$ 7 and $∠$ 8 are exterior angles.