Question

In the given figure, l || m. If angle P = 90°, angle RQP = 40°, angle PQS = 20°, then find angle R and angle S​

Answer 1

Answer:

∠QSP=70°, ∠QRP=50°

Step-by-step explanation:

In ΔPQS,

∠QPS+∠PQS+∠QSP=180°

90°+20°+<QSP=180°

110°+<QSP=180°

∠QSP=180°-110°

∠QSP=70°

In ΔPQR,

∠QPR+∠RQP+∠QRP=180°

90°+40°+∠QRP=180°

130°+∠QRP=180°

∠QRP=180°-130°

∠QRP=50°