Question

Find the values of a, b, and c in the figure given below.

Answer 1

Answer:

a=65°, b=115°, c=25°

Step-by-step explanation:

In ΔPQS,

<QPS+<PQS+<PSQ=180°

55°+60°+a=180°

115°+a=180°

a=180°-115°

a=65°

a+b=180°

65°+b=180°

b=180°-65°

b=115°

In ΔPSR,

<SPR+<PSR+<PRS=180°

c+b+<PRS=180°

c+115°+40°=180°

c+155°=180°

c=180°-155°

c=25°