Question

In ΔPQR it is given ∠QPS = 55°, ∠PQR = 60°and ∠PRQ = 40°.
i) Write the properties used to calculate the values of a, b, and c given in the figure.
ii) Find the value of a, b, and c given in the figure by using the properties of the triangle.
PLEASE ANSWER

Answer 1

Answer:

in triangle PQR

60 + 40 +(55+c) = 180(angle sum property)

c= 180-155

c=25°

now in triangle PQS

60+55+a = 180(angle sum property)

a= 180-115

a= 65°

a+b=180 ( linear pair)

65+b= 180

b= 115°

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Answer 2

Step-by-step explanation:

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