Question

Find the value of a,b,c

Answer 1

Answer:

The value of a = 65⁰ , b = 115⁰ , c = 25⁰

In ∆PQS

angle PQS+ QSP+ SPQ = 180⁰

angle PQS + a + SPQ = 180⁰

60⁰ + a + 55⁰ = 180⁰

115⁰ + a = 180⁰

a = 180⁰ - 115⁰

a = 65⁰

a + b = 180⁰ .....(Linear pair)

b = 180⁰- 65⁰

b = 115⁰

In ∆ PSR

c + b + PRS = 180⁰

c + 115⁰ + 40⁰ = 180⁰

c = 180⁰ - 155⁰

c = 25⁰

Answer 2

Answer:

Value of a=65 ,b=115 , c=25

Step-by-step explanation:

angle P + angleQ = angle a(65)

then, 180 - angle a(65) = 115=angle b. (linear pair).

then, angle b(115) + angle R(40)= 155, 180-155 = angle c(25).