Question

In figure A) and B) find the value of m,n and o​

Answer 1

Answer:

fig A

m=130° and n=30°

fig P

m=65° and n=115°

Answer 2

Answer:

A.)

In ΔADC ,

∠A=50°

∠C=80°

∠o=?

∴∠A+∠C+∠o=180°

∴50°+80°+∠o=180°

∴∠o=180°-130°

∴∠o=50°

∠o and ∠m are linear pair of angles .

∴∠o+∠m=180°

∴50°+∠m=180°

∴∠m=180°-50°

∴∠m=130°

In ΔADB ,

∴∠A+∠n+∠m=180°

∴∠n=180°-160°

∴∠n=20°

B.)

In ΔPQS

∴∠P+∠Q+∠m=180°

∴65°+50°+∠m=180°

∴∠m=180°-115°

∴∠m=65°

∠m and ∠n are linear pair of angles .

∴∠m+∠n=180°

∴∠n=180°-65°

∴∠n=115°

In ΔPSR ,

∴∠n+∠o+∠R=180°

∴∠o=180°-155°

∴∠o=25°