Question

if pq parallael to rs and rs parallel to tu, then find angle rsp, psu and sut

Answer 1

Hey mate
Here is your answer

★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆


It is given in the question that
PQ || RS and
RS || TU

So, PQ || RS || TU

angle QPS = angle RSP (interior alternate angles)

So, angle RSP = 100°


angle RSU + angle SUT = 180° ( co-interior angles)

=> angle SUT = 180° - 120° = 60°


angle PSU + angle RSP + angle RSU = 360° ( angle sum property )

=> angle PSU + 100° + 120° = 360°

=> angle PSU = 360° - 220° = 140°

Hence, angle RSP = 100°
angle PSU = 140°
angle SUT = 60°

★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆

Hope this helps!

Thank you

regrets
Sneha