Question

Find the values of a, b and c in the given triangle.​

Answer 1

Answer:

a = 65 degrees, b = 115 degrees, c = 25 degrees

Step-by-step explanation:

In triangle PQS,

P+Q+R = 180 degrees (Angle sum property of triangle)

55 + 60 + a = 180

a = 180 - 115  

= 65 degrees

External angle b = sum of other interior angles

b = 55 + 60

=  115 degrees

In triangle PSR,

P + S + R = 180 degrees (Angle sum property of triangle)

c + b + 40 = 180

c + 115 + 40 = 180

c = 180 - 155

c = 25 degrees

Answer 2

Answer:

a = 65 degrees, b = 115 degrees, c = 25 degrees

Step-by-step explanation:

In triangle PQS,

P+Q+R = 180 degrees (Angle sum property of triangle)

55 + 60 + a = 180

a = 180 - 115  

= 65 degrees

External angle b = sum of other interior angles

b = 55 + 60

=  115 degrees

In triangle PSR,

P + S + R = 180 degrees (Angle sum property of triangle)

c + b + 40 = 180

c + 115 + 40 = 180

c = 180 - 155

c = 25 degrees

THIS IS THE ANSWER...