Question

in PQR, right angled at Q, PQ=4cm and PR =8cm. Determine angle QPRand angle PRQ.

Answer 1

here is the best possible answer in the photo

Answer 2

Answer:

Therefore, ∠QPR = 60°, ∠PRQ = 30°

Step-by-step explanation:

Given that In PQR, right angle triangle at Q, PQ = 4cm and PR = 8cm

We have to find the values of angle QPR and angle PRQ.

In triangle PQR,

Given PQ = 4cm

PR  = 8cm

∠Q = 90°

In a triangle cos(P) = base/hypotenuse  = PQ/PR

cos(P) = 4/8 = 1/2

cos(P) = cos(60°)

P = 60°

Therefore, ∠QPR = 60°

Sum of angles is equal 180°

∠PRQ + ∠QPR +∠PQR = 180°

∠PRQ = 180° - 90° - 60°

∠PRQ = 180°-150°

∠PRQ = 30°