Question

In the given figure, find the values of a,b and c​

Answer 1

Answer:

Here is the answer

Step-by-step explanation:

in triangle PQR let M is the point on RQ where P meets RQ

in PQM,

    PQM+MPQ+PMQ=180°[∵Angle sum property]

    60°+55°+a=180°

    115°+a=180°

    a=180°-115°

    a=65°

    a+b=180°[∵linear pair]

    65°+b=180°

    b=180°-65°

    b=115°

in  PMR,

    PMR+RPM+MRP=180°[∵Angle sum property]

    b+40°+c=180°

    115°+40°+c=180°

    155°+c=180°

    c=25°

∴a=65°

  b=115°

  c=25°

Hope it helps you