Question

ਪ੍ਰ:8.ਦਿੱਤੇ ਗਏ ਚਿੱਤਰ ਵਿੱਚ,∠4 =……………… In given figure, ∠4 =……………… दिए गए चित्र में, ∠4 =……………… *



∠1 +∠3

∠2 +∠3

∠1+∠2

∠1+∠2+∠3

​

Answer 1

Complete question with diagram :- In given figure, ∠4 = ?

Solution :-

From diagram we can see that, PQR is a ∆. Side QR is extended to S.

in ∆PQR, we have

• ∠QPR = ∠1
• ∠PQR = ∠2
• ∠PRQ = ∠3
• ∠PRS = ∠4 (Exterior angle).

Now,

The Exterior angle theorem :-

• if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.

Angles opposite to exterior angles in the diagram are ∠1 and ∠2.

Therefore,

→ ∠PRS = ∠QPR + ∠PQR

→ ∠4 = ∠1 + ∠2. (Option C) (Ans.)