Question

Triangle PQR is is a right angled triangle, right-angled at R,RS ⊥ PQ ∠Q=35°

FIND THE MAGNITUDE OF ∠PRS ∠QRS and ∠RPS

Answer 1

Answer:

Triangle PQR is a right-angled triangle, right-angled at R,RS

1

x

PQ. ∠Q=35

∘

. Find the magnitude of ∠PRS,∠QRS, and ∠RPS. 35

t

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Answer 2

Step-by-step explanation:

Given- PQR is triangle, Rs _1_ PQ

∠R=90°

∠Q=35°

To find :- ∠RPS , ∠PRS, ∠QRS

Solution :- ∠P+∠Q+∠R=180°

∠P+35+90=180°

∠P+125=180

∠P=180°-125°=55°

∠ RPS =55°

In ΔPRS = ∠P +∠R + ∠S

55+90+∠R=180°

145+∠R=180°

∠R=180-145=35°

∠PRS=35°

In ΔQRS = ∠Q + ∠R + ∠S = 180°

35+∠R+90=180°

125+∠R=180°

∠R= 180-125=55°

∠QRS=55°