Question

In an equilateral triangle PQR=, if QR= is extended to S, find the value of ∠PRS ??

Answer 1

Step-by-step explanation:

Given ;

∆ PQR is an equilateral triangle.

S is the external point .

Find ; Value of < PRS .

Solution:

As , it's a equilateral triangle so all the angels are 60° .

( as , in an equilateral triangle all angles are 60° )

Now , we know that ;

External angel = ( sum of opposite interior angles)

=> < PRS = <RPQ + < PQR

=> < PRS = 60+60

=> < PRS = 120° .( ans )..

Hope ! it's helpful....

Answer 2

Answer:

120 DEGREE

Step-by-step explanation:

Given ;

∆ PQR is an equilateral triangle.

S is the external point .

Find ; Value of < PRS .

Solution:

As , it's a equilateral triangle so all the angels are 60° .

( as , in an equilateral triangle all angles are 60° )

Now , we know that ;

External angel = ( sum of opposite interior angles)

=> < PRS = <RPQ + < PQR

=> < PRS = 60+60

=> < PRS = 120° .( ans )..